Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(152,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 5, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.152");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.bf (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 185.23 | ||
Character | \(\chi\) | \(=\) | 273.185 |
Dual form | 273.2.bf.b.152.23 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.21710 | + | 0.702692i | 0.860619 | + | 0.496879i | 0.864219 | − | 0.503115i | \(-0.167813\pi\) |
−0.00360060 | + | 0.999994i | \(0.501146\pi\) | |||||||
\(3\) | −1.65544 | + | 0.509428i | −0.955769 | + | 0.294119i | ||||
\(4\) | −0.0124468 | − | 0.0215586i | −0.00622342 | − | 0.0107793i | ||||
\(5\) | −1.48377 | − | 2.56997i | −0.663563 | − | 1.14933i | −0.979673 | − | 0.200603i | \(-0.935710\pi\) |
0.316109 | − | 0.948723i | \(-0.397623\pi\) | |||||||
\(6\) | −2.37281 | − | 0.543240i | −0.968694 | − | 0.221777i | ||||
\(7\) | −2.30005 | + | 1.30759i | −0.869336 | + | 0.494221i | ||||
\(8\) | − | 2.84575i | − | 1.00613i | ||||||
\(9\) | 2.48097 | − | 1.68666i | 0.826988 | − | 0.562219i | ||||
\(10\) | − | 4.17054i | − | 1.31884i | ||||||
\(11\) | − | 2.71980i | − | 0.820052i | −0.912074 | − | 0.410026i | \(-0.865520\pi\) | ||
0.912074 | − | 0.410026i | \(-0.134480\pi\) | |||||||
\(12\) | 0.0315876 | + | 0.0293481i | 0.00911854 | + | 0.00847208i | ||||
\(13\) | −3.51855 | + | 0.787262i | −0.975871 | + | 0.218347i | ||||
\(14\) | −3.71822 | − | 0.0247658i | −0.993735 | − | 0.00661894i | ||||
\(15\) | 3.76551 | + | 3.49856i | 0.972251 | + | 0.903323i | ||||
\(16\) | 1.97480 | − | 3.42045i | 0.493699 | − | 0.855112i | ||||
\(17\) | −0.233104 | − | 0.403748i | −0.0565360 | − | 0.0979232i | 0.836372 | − | 0.548162i | \(-0.184672\pi\) |
−0.892908 | + | 0.450239i | \(0.851339\pi\) | |||||||
\(18\) | 4.20478 | − | 0.309473i | 0.991076 | − | 0.0729435i | ||||
\(19\) | − | 2.58817i | − | 0.593767i | −0.954914 | − | 0.296884i | \(-0.904053\pi\) | ||
0.954914 | − | 0.296884i | \(-0.0959473\pi\) | |||||||
\(20\) | −0.0369366 | + | 0.0639760i | −0.00825927 | + | 0.0143055i | ||||
\(21\) | 3.14147 | − | 3.33634i | 0.685525 | − | 0.728049i | ||||
\(22\) | 1.91119 | − | 3.31027i | 0.407466 | − | 0.705752i | ||||
\(23\) | 2.09876 | + | 1.21172i | 0.437621 | + | 0.252661i | 0.702588 | − | 0.711597i | \(-0.252028\pi\) |
−0.264967 | + | 0.964257i | \(0.585361\pi\) | |||||||
\(24\) | 1.44971 | + | 4.71098i | 0.295921 | + | 0.961624i | ||||
\(25\) | −1.90316 | + | 3.29638i | −0.380633 | + | 0.659275i | ||||
\(26\) | −4.83563 | − | 1.51429i | −0.948345 | − | 0.296976i | ||||
\(27\) | −3.24786 | + | 4.05603i | −0.625051 | + | 0.780584i | ||||
\(28\) | 0.0568180 | + | 0.0333104i | 0.0107376 | + | 0.00629508i | ||||
\(29\) | −7.22253 | + | 4.16993i | −1.34119 | + | 0.774336i | −0.986982 | − | 0.160830i | \(-0.948583\pi\) |
−0.354208 | + | 0.935167i | \(0.615249\pi\) | |||||||
\(30\) | 2.12459 | + | 6.90409i | 0.387896 | + | 1.26051i | ||||
\(31\) | 5.80759 | + | 3.35302i | 1.04307 | + | 0.602219i | 0.920703 | − | 0.390265i | \(-0.127617\pi\) |
0.122372 | + | 0.992484i | \(0.460950\pi\) | |||||||
\(32\) | −0.121947 | + | 0.0704059i | −0.0215573 | + | 0.0124461i | ||||
\(33\) | 1.38555 | + | 4.50247i | 0.241193 | + | 0.783780i | ||||
\(34\) | − | 0.655201i | − | 0.112366i | ||||||
\(35\) | 6.77320 | + | 3.97090i | 1.14488 | + | 0.671204i | ||||
\(36\) | −0.0672421 | − | 0.0324925i | −0.0112070 | − | 0.00541542i | ||||
\(37\) | 5.67682 | − | 9.83255i | 0.933264 | − | 1.61646i | 0.155563 | − | 0.987826i | \(-0.450281\pi\) |
0.777701 | − | 0.628635i | \(-0.216386\pi\) | |||||||
\(38\) | 1.81869 | − | 3.15006i | 0.295030 | − | 0.511007i | ||||
\(39\) | 5.42370 | − | 3.09572i | 0.868487 | − | 0.495711i | ||||
\(40\) | −7.31350 | + | 4.22245i | −1.15637 | + | 0.667629i | ||||
\(41\) | −4.19212 | − | 7.26096i | −0.654699 | − | 1.13397i | −0.981969 | − | 0.189041i | \(-0.939462\pi\) |
0.327270 | − | 0.944931i | \(-0.393871\pi\) | |||||||
\(42\) | 6.16790 | − | 1.85317i | 0.951728 | − | 0.285950i | ||||
\(43\) | −2.24397 | + | 3.88666i | −0.342202 | + | 0.592711i | −0.984841 | − | 0.173458i | \(-0.944506\pi\) |
0.642640 | + | 0.766169i | \(0.277839\pi\) | |||||||
\(44\) | −0.0586351 | + | 0.0338530i | −0.00883957 | + | 0.00510353i | ||||
\(45\) | −8.01585 | − | 3.87339i | −1.19493 | − | 0.577411i | ||||
\(46\) | 1.70293 | + | 2.94956i | 0.251083 | + | 0.434889i | ||||
\(47\) | 4.26729 | + | 7.39117i | 0.622448 | + | 1.07811i | 0.989028 | + | 0.147726i | \(0.0471953\pi\) |
−0.366580 | + | 0.930387i | \(0.619471\pi\) | |||||||
\(48\) | −1.52668 | + | 6.66836i | −0.220358 | + | 0.962496i | ||||
\(49\) | 3.58044 | − | 6.01502i | 0.511492 | − | 0.859288i | ||||
\(50\) | −4.63268 | + | 2.67468i | −0.655160 | + | 0.378257i | ||||
\(51\) | 0.591570 | + | 0.549631i | 0.0828364 | + | 0.0769637i | ||||
\(52\) | 0.0607671 | + | 0.0660560i | 0.00842688 | + | 0.00916032i | ||||
\(53\) | 0.995744 | + | 0.574893i | 0.136776 | + | 0.0789676i | 0.566827 | − | 0.823837i | \(-0.308171\pi\) |
−0.430051 | + | 0.902805i | \(0.641504\pi\) | |||||||
\(54\) | −6.80311 | + | 2.65435i | −0.925786 | + | 0.361211i | ||||
\(55\) | −6.98981 | + | 4.03557i | −0.942506 | + | 0.544156i | ||||
\(56\) | 3.72107 | + | 6.54537i | 0.497248 | + | 0.874662i | ||||
\(57\) | 1.31849 | + | 4.28456i | 0.174638 | + | 0.567504i | ||||
\(58\) | −11.7207 | −1.53900 | ||||||||
\(59\) | −5.19062 | − | 8.99042i | −0.675761 | − | 1.17045i | −0.976246 | − | 0.216666i | \(-0.930482\pi\) |
0.300485 | − | 0.953787i | \(-0.402852\pi\) | |||||||
\(60\) | 0.0285551 | − | 0.124725i | 0.00368645 | − | 0.0161019i | ||||
\(61\) | − | 9.12590i | − | 1.16845i | −0.811591 | − | 0.584226i | \(-0.801398\pi\) | ||
0.811591 | − | 0.584226i | \(-0.198602\pi\) | |||||||
\(62\) | 4.71228 | + | 8.16190i | 0.598460 | + | 1.03656i | ||||
\(63\) | −3.50089 | + | 7.12347i | −0.441071 | + | 0.897472i | ||||
\(64\) | −8.09708 | −1.01214 | ||||||||
\(65\) | 7.24397 | + | 7.87446i | 0.898504 | + | 0.976706i | ||||
\(66\) | −1.47751 | + | 6.45357i | −0.181869 | + | 0.794379i | ||||
\(67\) | 4.45771 | 0.544596 | 0.272298 | − | 0.962213i | \(-0.412216\pi\) | ||||
0.272298 | + | 0.962213i | \(0.412216\pi\) | |||||||
\(68\) | −0.00580281 | + | 0.0100508i | −0.000703695 | + | 0.00121883i | ||||
\(69\) | −4.09165 | − | 0.936760i | −0.492577 | − | 0.112773i | ||||
\(70\) | 5.45334 | + | 9.59245i | 0.651799 | + | 1.14652i | ||||
\(71\) | 7.31046 | + | 4.22070i | 0.867593 | + | 0.500905i | 0.866547 | − | 0.499095i | \(-0.166334\pi\) |
0.00104506 | + | 0.999999i | \(0.499667\pi\) | |||||||
\(72\) | −4.79981 | − | 7.06022i | −0.565663 | − | 0.832055i | ||||
\(73\) | −6.75653 | − | 3.90088i | −0.790792 | − | 0.456564i | 0.0494495 | − | 0.998777i | \(-0.484253\pi\) |
−0.840241 | + | 0.542213i | \(0.817587\pi\) | |||||||
\(74\) | 13.8185 | − | 7.97812i | 1.60637 | − | 0.927438i | ||||
\(75\) | 1.47131 | − | 6.42648i | 0.169892 | − | 0.742066i | ||||
\(76\) | −0.0557973 | + | 0.0322146i | −0.00640038 | + | 0.00369526i | ||||
\(77\) | 3.55638 | + | 6.25568i | 0.405287 | + | 0.712901i | ||||
\(78\) | 8.77652 | + | 0.0434008i | 0.993745 | + | 0.00491417i | ||||
\(79\) | −1.45705 | − | 2.52368i | −0.163931 | − | 0.283936i | 0.772344 | − | 0.635204i | \(-0.219084\pi\) |
−0.936275 | + | 0.351268i | \(0.885751\pi\) | |||||||
\(80\) | −11.7206 | −1.31040 | ||||||||
\(81\) | 3.31038 | − | 8.36907i | 0.367820 | − | 0.929897i | ||||
\(82\) | − | 11.7831i | − | 1.30122i | ||||||
\(83\) | 10.6532 | 1.16934 | 0.584671 | − | 0.811271i | \(-0.301224\pi\) | ||||
0.584671 | + | 0.811271i | \(0.301224\pi\) | |||||||
\(84\) | −0.111028 | − | 0.0261987i | −0.0121142 | − | 0.00285851i | ||||
\(85\) | −0.691746 | + | 1.19814i | −0.0750304 | + | 0.129957i | ||||
\(86\) | −5.46226 | + | 3.15364i | −0.589011 | + | 0.340065i | ||||
\(87\) | 9.83218 | − | 10.5824i | 1.05412 | − | 1.13456i | ||||
\(88\) | −7.73990 | −0.825076 | ||||||||
\(89\) | 3.44068 | − | 5.95943i | 0.364711 | − | 0.631699i | −0.624018 | − | 0.781410i | \(-0.714501\pi\) |
0.988730 | + | 0.149711i | \(0.0478343\pi\) | |||||||
\(90\) | −7.03428 | − | 10.3470i | −0.741478 | − | 1.09067i | ||||
\(91\) | 7.06343 | − | 6.41155i | 0.740449 | − | 0.672113i | ||||
\(92\) | − | 0.0603282i | − | 0.00628965i | ||||||
\(93\) | −11.3222 | − | 2.59216i | −1.17406 | − | 0.268795i | ||||
\(94\) | 11.9944i | 1.23713i | ||||||||
\(95\) | −6.65152 | + | 3.84026i | −0.682432 | + | 0.394002i | ||||
\(96\) | 0.166008 | − | 0.178676i | 0.0169432 | − | 0.0182360i | ||||
\(97\) | 8.95629 | + | 5.17091i | 0.909373 | + | 0.525027i | 0.880229 | − | 0.474548i | \(-0.157389\pi\) |
0.0291437 | + | 0.999575i | \(0.490722\pi\) | |||||||
\(98\) | 8.58446 | − | 4.80492i | 0.867161 | − | 0.485370i | ||||
\(99\) | −4.58738 | − | 6.74774i | −0.461049 | − | 0.678173i | ||||
\(100\) | 0.0947535 | 0.00947535 | ||||||||
\(101\) | 6.64640 | 0.661341 | 0.330671 | − | 0.943746i | \(-0.392725\pi\) | ||||
0.330671 | + | 0.943746i | \(0.392725\pi\) | |||||||
\(102\) | 0.333778 | + | 1.08465i | 0.0330490 | + | 0.107396i | ||||
\(103\) | 7.72448 | − | 4.45973i | 0.761116 | − | 0.439431i | −0.0685803 | − | 0.997646i | \(-0.521847\pi\) |
0.829696 | + | 0.558215i | \(0.188514\pi\) | |||||||
\(104\) | 2.24035 | + | 10.0129i | 0.219685 | + | 0.981850i | ||||
\(105\) | −13.2355 | − | 3.12312i | −1.29165 | − | 0.304785i | ||||
\(106\) | 0.807946 | + | 1.39940i | 0.0784746 | + | 0.135922i | ||||
\(107\) | 0.100989 | + | 0.0583060i | 0.00976297 | + | 0.00563666i | 0.504874 | − | 0.863193i | \(-0.331539\pi\) |
−0.495111 | + | 0.868830i | \(0.664872\pi\) | |||||||
\(108\) | 0.127868 | + | 0.0195344i | 0.0123041 | + | 0.00187969i | ||||
\(109\) | −2.10015 | + | 3.63757i | −0.201158 | + | 0.348416i | −0.948902 | − | 0.315572i | \(-0.897804\pi\) |
0.747744 | + | 0.663987i | \(0.231137\pi\) | |||||||
\(110\) | −11.3431 | −1.08152 | ||||||||
\(111\) | −4.38866 | + | 19.1691i | −0.416553 | + | 1.81945i | ||||
\(112\) | −0.0696000 | + | 10.4494i | −0.00657659 | + | 0.987376i | ||||
\(113\) | −11.1270 | − | 6.42418i | −1.04674 | − | 0.604336i | −0.125005 | − | 0.992156i | \(-0.539895\pi\) |
−0.921735 | + | 0.387820i | \(0.873228\pi\) | |||||||
\(114\) | −1.40600 | + | 6.14123i | −0.131684 | + | 0.575179i | ||||
\(115\) | − | 7.19165i | − | 0.670625i | ||||||
\(116\) | 0.179795 | + | 0.103805i | 0.0166936 | + | 0.00963804i | ||||
\(117\) | −7.40157 | + | 7.88776i | −0.684275 | + | 0.729224i | ||||
\(118\) | − | 14.5896i | − | 1.34308i | ||||||
\(119\) | 1.06408 | + | 0.623836i | 0.0975445 | + | 0.0571870i | ||||
\(120\) | 9.95603 | − | 10.7157i | 0.908857 | − | 0.978208i | ||||
\(121\) | 3.60267 | 0.327515 | ||||||||
\(122\) | 6.41270 | − | 11.1071i | 0.580578 | − | 1.00559i | ||||
\(123\) | 10.6387 | + | 9.88451i | 0.959263 | + | 0.891256i | ||||
\(124\) | − | 0.166938i | − | 0.0149915i | ||||||
\(125\) | −3.54228 | −0.316831 | ||||||||
\(126\) | −9.26654 | + | 6.20991i | −0.825529 | + | 0.553223i | ||||
\(127\) | −0.679843 | − | 1.17752i | −0.0603263 | − | 0.104488i | 0.834285 | − | 0.551333i | \(-0.185881\pi\) |
−0.894611 | + | 0.446845i | \(0.852547\pi\) | |||||||
\(128\) | −9.61105 | − | 5.54895i | −0.849505 | − | 0.490462i | ||||
\(129\) | 1.73478 | − | 7.57728i | 0.152738 | − | 0.667142i | ||||
\(130\) | 3.28331 | + | 14.6743i | 0.287965 | + | 1.28702i | ||||
\(131\) | −5.82910 | − | 10.0963i | −0.509291 | − | 0.882118i | −0.999942 | − | 0.0107620i | \(-0.996574\pi\) |
0.490651 | − | 0.871356i | \(-0.336759\pi\) | |||||||
\(132\) | 0.0798212 | − | 0.0859120i | 0.00694754 | − | 0.00747768i | ||||
\(133\) | 3.38425 | + | 5.95292i | 0.293452 | + | 0.516184i | ||||
\(134\) | 5.42548 | + | 3.13240i | 0.468690 | + | 0.270598i | ||||
\(135\) | 15.2430 | + | 2.32867i | 1.31191 | + | 0.200420i | ||||
\(136\) | −1.14897 | + | 0.663356i | −0.0985231 | + | 0.0568823i | ||||
\(137\) | −1.10479 | + | 0.637851i | −0.0943887 | + | 0.0544953i | −0.546451 | − | 0.837491i | \(-0.684022\pi\) |
0.452063 | + | 0.891986i | \(0.350688\pi\) | |||||||
\(138\) | −4.32169 | − | 4.01530i | −0.367887 | − | 0.341805i | ||||
\(139\) | 3.59002 | + | 2.07270i | 0.304501 | + | 0.175804i | 0.644463 | − | 0.764635i | \(-0.277081\pi\) |
−0.339962 | + | 0.940439i | \(0.610414\pi\) | |||||||
\(140\) | 0.00130180 | − | 0.195446i | 0.000110022 | − | 0.0165182i | ||||
\(141\) | −10.8295 | − | 10.0618i | −0.912010 | − | 0.847352i | ||||
\(142\) | 5.93171 | + | 10.2740i | 0.497778 | + | 0.862176i | ||||
\(143\) | 2.14120 | + | 9.56978i | 0.179056 | + | 0.800265i | ||||
\(144\) | −0.869721 | − | 11.8168i | −0.0724767 | − | 0.984735i | ||||
\(145\) | 21.4332 | + | 12.3745i | 1.77993 | + | 1.02764i | ||||
\(146\) | −5.48224 | − | 9.49552i | −0.453714 | − | 0.785855i | ||||
\(147\) | −2.86299 | + | 11.7815i | −0.236135 | + | 0.971720i | ||||
\(148\) | −0.282634 | −0.0232324 | ||||||||
\(149\) | 12.4970i | 1.02380i | 0.859046 | + | 0.511899i | \(0.171058\pi\) | ||||
−0.859046 | + | 0.511899i | \(0.828942\pi\) | |||||||
\(150\) | 6.30656 | − | 6.78779i | 0.514929 | − | 0.554220i | ||||
\(151\) | 2.63468 | − | 4.56339i | 0.214407 | − | 0.371364i | −0.738682 | − | 0.674054i | \(-0.764552\pi\) |
0.953089 | + | 0.302690i | \(0.0978848\pi\) | |||||||
\(152\) | −7.36530 | −0.597405 | ||||||||
\(153\) | −1.25931 | − | 0.608518i | −0.101809 | − | 0.0491958i | ||||
\(154\) | −0.0673581 | + | 10.1128i | −0.00542787 | + | 0.814914i | ||||
\(155\) | − | 19.9005i | − | 1.59844i | ||||||
\(156\) | −0.134247 | − | 0.0783953i | −0.0107484 | − | 0.00627665i | ||||
\(157\) | −0.305705 | − | 0.176499i | −0.0243979 | − | 0.0140861i | 0.487751 | − | 0.872983i | \(-0.337817\pi\) |
−0.512149 | + | 0.858896i | \(0.671151\pi\) | |||||||
\(158\) | − | 4.09542i | − | 0.325814i | ||||||
\(159\) | −1.94126 | − | 0.444441i | −0.153952 | − | 0.0352464i | ||||
\(160\) | 0.361882 | + | 0.208933i | 0.0286093 | + | 0.0165176i | ||||
\(161\) | −6.41166 | − | 0.0427060i | −0.505310 | − | 0.00336570i | ||||
\(162\) | 9.90994 | − | 7.85981i | 0.778598 | − | 0.617525i | ||||
\(163\) | −23.7010 | −1.85641 | −0.928205 | − | 0.372070i | \(-0.878648\pi\) | ||||
−0.928205 | + | 0.372070i | \(0.878648\pi\) | |||||||
\(164\) | −0.104357 | + | 0.180752i | −0.00814894 | + | 0.0141144i | ||||
\(165\) | 9.51539 | − | 10.2415i | 0.740772 | − | 0.797296i | ||||
\(166\) | 12.9660 | + | 7.48593i | 1.00636 | + | 0.581021i | ||||
\(167\) | −1.87878 | − | 3.25415i | −0.145385 | − | 0.251814i | 0.784132 | − | 0.620594i | \(-0.213109\pi\) |
−0.929516 | + | 0.368781i | \(0.879775\pi\) | |||||||
\(168\) | −9.49440 | − | 8.93986i | −0.732509 | − | 0.689725i | ||||
\(169\) | 11.7604 | − | 5.54005i | 0.904649 | − | 0.426157i | ||||
\(170\) | −1.68385 | + | 0.972170i | −0.129145 | + | 0.0745620i | ||||
\(171\) | −4.36536 | − | 6.42116i | −0.333827 | − | 0.491039i | ||||
\(172\) | 0.111721 | 0.00851866 | ||||||||
\(173\) | −4.23157 | −0.321720 | −0.160860 | − | 0.986977i | \(-0.551427\pi\) | ||||
−0.160860 | + | 0.986977i | \(0.551427\pi\) | |||||||
\(174\) | 19.4029 | − | 5.97086i | 1.47093 | − | 0.452650i | ||||
\(175\) | 0.0670754 | − | 10.0704i | 0.00507042 | − | 0.761249i | ||||
\(176\) | −9.30295 | − | 5.37106i | −0.701236 | − | 0.404859i | ||||
\(177\) | 13.1727 | + | 12.2388i | 0.990123 | + | 0.919928i | ||||
\(178\) | 8.37530 | − | 4.83548i | 0.627755 | − | 0.362435i | ||||
\(179\) | − | 1.00129i | − | 0.0748401i | −0.999300 | − | 0.0374201i | \(-0.988086\pi\) | ||
0.999300 | − | 0.0374201i | \(-0.0119140\pi\) | |||||||
\(180\) | 0.0162672 | + | 0.221022i | 0.00121249 | + | 0.0164740i | ||||
\(181\) | 4.63844i | 0.344773i | 0.985029 | + | 0.172386i | \(0.0551477\pi\) | ||||
−0.985029 | + | 0.172386i | \(0.944852\pi\) | |||||||
\(182\) | 13.1022 | − | 2.84007i | 0.971203 | − | 0.210520i | ||||
\(183\) | 4.64899 | + | 15.1074i | 0.343663 | + | 1.11677i | ||||
\(184\) | 3.44825 | − | 5.97255i | 0.254208 | − | 0.440302i | ||||
\(185\) | −33.6925 | −2.47712 | ||||||||
\(186\) | −11.9588 | − | 11.1110i | −0.876862 | − | 0.814696i | ||||
\(187\) | −1.09811 | + | 0.633997i | −0.0803021 | + | 0.0463624i | ||||
\(188\) | 0.106229 | − | 0.183993i | 0.00774752 | − | 0.0134191i | ||||
\(189\) | 2.16662 | − | 13.5759i | 0.157598 | − | 0.987503i | ||||
\(190\) | −10.7941 | −0.783085 | ||||||||
\(191\) | 2.70485i | 0.195716i | 0.995200 | + | 0.0978581i | \(0.0311991\pi\) | ||||
−0.995200 | + | 0.0978581i | \(0.968801\pi\) | |||||||
\(192\) | 13.4042 | − | 4.12488i | 0.967367 | − | 0.297688i | ||||
\(193\) | −24.2731 | −1.74722 | −0.873608 | − | 0.486631i | \(-0.838226\pi\) | ||||
−0.873608 | + | 0.486631i | \(0.838226\pi\) | |||||||
\(194\) | 7.26712 | + | 12.5870i | 0.521749 | + | 0.903696i | ||||
\(195\) | −16.0034 | − | 9.34541i | −1.14603 | − | 0.669239i | ||||
\(196\) | −0.174240 | − | 0.00232122i | −0.0124457 | − | 0.000165801i | ||||
\(197\) | 6.13256 | − | 3.54064i | 0.436927 | − | 0.252260i | −0.265366 | − | 0.964148i | \(-0.585493\pi\) |
0.702293 | + | 0.711888i | \(0.252160\pi\) | |||||||
\(198\) | −0.841706 | − | 11.4362i | −0.0598174 | − | 0.812734i | ||||
\(199\) | −16.6686 | + | 9.62360i | −1.18160 | + | 0.682199i | −0.956385 | − | 0.292109i | \(-0.905643\pi\) |
−0.225218 | + | 0.974308i | \(0.572310\pi\) | |||||||
\(200\) | 9.38068 | + | 5.41594i | 0.663314 | + | 0.382965i | ||||
\(201\) | −7.37948 | + | 2.27089i | −0.520508 | + | 0.160176i | ||||
\(202\) | 8.08932 | + | 4.67037i | 0.569163 | + | 0.328606i | ||||
\(203\) | 11.1596 | − | 19.0351i | 0.783252 | − | 1.33600i | ||||
\(204\) | 0.00448606 | − | 0.0195946i | 0.000314087 | − | 0.00137189i | ||||
\(205\) | −12.4403 | + | 21.5472i | −0.868869 | + | 1.50492i | ||||
\(206\) | 12.5353 | 0.873374 | ||||||||
\(207\) | 7.25069 | − | 0.533653i | 0.503958 | − | 0.0370914i | ||||
\(208\) | −4.25564 | + | 13.5897i | −0.295075 | + | 0.942277i | ||||
\(209\) | −7.03932 | −0.486920 | ||||||||
\(210\) | −13.9143 | − | 13.1016i | −0.960181 | − | 0.904099i | ||||
\(211\) | −11.6667 | − | 20.2073i | −0.803169 | − | 1.39113i | −0.917520 | − | 0.397690i | \(-0.869812\pi\) |
0.114351 | − | 0.993440i | \(-0.463521\pi\) | |||||||
\(212\) | − | 0.0286224i | − | 0.00196580i | ||||||
\(213\) | −14.2522 | − | 3.26296i | −0.976543 | − | 0.223574i | ||||
\(214\) | 0.0819424 | + | 0.141928i | 0.00560147 | + | 0.00970203i | ||||
\(215\) | 13.3181 | 0.908290 | ||||||||
\(216\) | 11.5425 | + | 9.24261i | 0.785366 | + | 0.628880i | ||||
\(217\) | −17.7421 | − | 0.118174i | −1.20441 | − | 0.00802219i | ||||
\(218\) | −5.11218 | + | 2.95152i | −0.346240 | + | 0.199902i | ||||
\(219\) | 13.1722 | + | 3.01571i | 0.890098 | + | 0.203783i | ||||
\(220\) | 0.174002 | + | 0.100460i | 0.0117312 | + | 0.00677303i | ||||
\(221\) | 1.13804 | + | 1.23709i | 0.0765531 | + | 0.0832160i | ||||
\(222\) | −18.8114 | + | 20.2468i | −1.26254 | + | 1.35888i | ||||
\(223\) | 4.43230 | − | 2.55899i | 0.296809 | − | 0.171363i | −0.344200 | − | 0.938897i | \(-0.611850\pi\) |
0.641008 | + | 0.767534i | \(0.278516\pi\) | |||||||
\(224\) | 0.188421 | − | 0.321392i | 0.0125894 | − | 0.0214739i | ||||
\(225\) | 0.838173 | + | 11.3882i | 0.0558782 | + | 0.759212i | ||||
\(226\) | −9.02844 | − | 15.6377i | −0.600563 | − | 1.04021i | ||||
\(227\) | 11.5535 | + | 20.0112i | 0.766832 | + | 1.32819i | 0.939273 | + | 0.343172i | \(0.111501\pi\) |
−0.172441 | + | 0.985020i | \(0.555165\pi\) | |||||||
\(228\) | 0.0759580 | − | 0.0817540i | 0.00503044 | − | 0.00541429i | ||||
\(229\) | 21.6165 | − | 12.4803i | 1.42846 | − | 0.824720i | 0.431458 | − | 0.902133i | \(-0.357999\pi\) |
0.996999 | + | 0.0774125i | \(0.0246658\pi\) | |||||||
\(230\) | 5.05352 | − | 8.75295i | 0.333219 | − | 0.577153i | ||||
\(231\) | −9.07419 | − | 8.54419i | −0.597038 | − | 0.562166i | ||||
\(232\) | 11.8666 | + | 20.5535i | 0.779080 | + | 1.34941i | ||||
\(233\) | −10.3307 | + | 5.96443i | −0.676787 | + | 0.390743i | −0.798643 | − | 0.601805i | \(-0.794449\pi\) |
0.121857 | + | 0.992548i | \(0.461115\pi\) | |||||||
\(234\) | −14.5511 | + | 4.39916i | −0.951236 | + | 0.287582i | ||||
\(235\) | 12.6634 | − | 21.9336i | 0.826068 | − | 1.43079i | ||||
\(236\) | −0.129214 | + | 0.223805i | −0.00841109 | + | 0.0145684i | ||||
\(237\) | 3.69769 | + | 3.43554i | 0.240191 | + | 0.223162i | ||||
\(238\) | 0.856731 | + | 1.50699i | 0.0555336 | + | 0.0976839i | ||||
\(239\) | − | 10.2941i | − | 0.665868i | −0.942950 | − | 0.332934i | \(-0.891961\pi\) | ||
0.942950 | − | 0.332934i | \(-0.108039\pi\) | |||||||
\(240\) | 19.4027 | − | 5.97081i | 1.25244 | − | 0.385414i | ||||
\(241\) | 13.7616 | − | 7.94527i | 0.886464 | − | 0.511800i | 0.0136795 | − | 0.999906i | \(-0.495646\pi\) |
0.872784 | + | 0.488106i | \(0.162312\pi\) | |||||||
\(242\) | 4.38480 | + | 2.53157i | 0.281866 | + | 0.162735i | ||||
\(243\) | −1.21669 | + | 15.5409i | −0.0780505 | + | 0.996949i | ||||
\(244\) | −0.196741 | + | 0.113589i | −0.0125951 | + | 0.00727177i | ||||
\(245\) | −20.7710 | − | 0.276709i | −1.32701 | − | 0.0176783i | ||||
\(246\) | 6.00264 | + | 19.5062i | 0.382714 | + | 1.24367i | ||||
\(247\) | 2.03757 | + | 9.10662i | 0.129647 | + | 0.579440i | ||||
\(248\) | 9.54186 | − | 16.5270i | 0.605909 | − | 1.04946i | ||||
\(249\) | −17.6358 | + | 5.42705i | −1.11762 | + | 0.343925i | ||||
\(250\) | −4.31130 | − | 2.48913i | −0.272671 | − | 0.157426i | ||||
\(251\) | −8.02838 | + | 13.9056i | −0.506747 | + | 0.877712i | 0.493222 | + | 0.869903i | \(0.335819\pi\) |
−0.999970 | + | 0.00780844i | \(0.997514\pi\) | |||||||
\(252\) | 0.197147 | − | 0.0131905i | 0.0124191 | − | 0.000830920i | ||||
\(253\) | 3.29563 | − | 5.70821i | 0.207195 | − | 0.358872i | ||||
\(254\) | − | 1.91088i | − | 0.119899i | ||||||
\(255\) | 0.534778 | − | 2.33584i | 0.0334891 | − | 0.146276i | ||||
\(256\) | 0.298678 | + | 0.517325i | 0.0186674 | + | 0.0323328i | ||||
\(257\) | −5.49333 | + | 9.51472i | −0.342664 | + | 0.593512i | −0.984927 | − | 0.172973i | \(-0.944663\pi\) |
0.642262 | + | 0.766485i | \(0.277996\pi\) | |||||||
\(258\) | 7.43589 | − | 8.00329i | 0.462938 | − | 0.498263i | ||||
\(259\) | −0.200075 | + | 30.0383i | −0.0124320 | + | 1.86649i | ||||
\(260\) | 0.0795974 | − | 0.254182i | 0.00493642 | − | 0.0157637i | ||||
\(261\) | −10.8856 | + | 22.5274i | −0.673802 | + | 1.39441i | ||||
\(262\) | − | 16.3843i | − | 1.01222i | ||||||
\(263\) | 6.93143i | 0.427410i | 0.976898 | + | 0.213705i | \(0.0685532\pi\) | ||||
−0.976898 | + | 0.213705i | \(0.931447\pi\) | |||||||
\(264\) | 12.8129 | − | 3.94292i | 0.788582 | − | 0.242670i | ||||
\(265\) | − | 3.41204i | − | 0.209600i | ||||||
\(266\) | −0.0640981 | + | 9.62338i | −0.00393011 | + | 0.590047i | ||||
\(267\) | −2.65994 | + | 11.6183i | −0.162785 | + | 0.711026i | ||||
\(268\) | −0.0554844 | − | 0.0961019i | −0.00338925 | − | 0.00587036i | ||||
\(269\) | 3.57872 | + | 6.19852i | 0.218198 | + | 0.377931i | 0.954257 | − | 0.298987i | \(-0.0966487\pi\) |
−0.736059 | + | 0.676918i | \(0.763315\pi\) | |||||||
\(270\) | 16.9159 | + | 13.5453i | 1.02947 | + | 0.824343i | ||||
\(271\) | 12.1343 | + | 7.00577i | 0.737109 | + | 0.425570i | 0.821017 | − | 0.570903i | \(-0.193407\pi\) |
−0.0839081 | + | 0.996473i | \(0.526740\pi\) | |||||||
\(272\) | −1.84133 | −0.111647 | ||||||||
\(273\) | −8.42686 | + | 14.2122i | −0.510017 | + | 0.860164i | ||||
\(274\) | −1.79285 | −0.108310 | ||||||||
\(275\) | 8.96550 | + | 5.17623i | 0.540640 | + | 0.312139i | ||||
\(276\) | 0.0307329 | + | 0.0998698i | 0.00184990 | + | 0.00601145i | ||||
\(277\) | 11.8084 | + | 20.4527i | 0.709497 | + | 1.22888i | 0.965044 | + | 0.262088i | \(0.0844111\pi\) |
−0.255547 | + | 0.966797i | \(0.582256\pi\) | |||||||
\(278\) | 2.91294 | + | 5.04536i | 0.174706 | + | 0.302600i | ||||
\(279\) | 20.0638 | − | 1.47670i | 1.20119 | − | 0.0884078i | ||||
\(280\) | 11.3002 | − | 19.2749i | 0.675316 | − | 1.15189i | ||||
\(281\) | 16.8039i | 1.00244i | 0.865320 | + | 0.501219i | \(0.167115\pi\) | ||||
−0.865320 | + | 0.501219i | \(0.832885\pi\) | |||||||
\(282\) | −6.11027 | − | 19.8560i | −0.363862 | − | 1.18241i | ||||
\(283\) | 8.94217i | 0.531557i | 0.964034 | + | 0.265778i | \(0.0856289\pi\) | ||||
−0.964034 | + | 0.265778i | \(0.914371\pi\) | |||||||
\(284\) | − | 0.210137i | − | 0.0124694i | ||||||
\(285\) | 9.05486 | − | 9.74579i | 0.536364 | − | 0.577291i | ||||
\(286\) | −4.11856 | + | 13.1520i | −0.243536 | + | 0.777692i | ||||
\(287\) | 19.1364 | + | 11.2190i | 1.12959 | + | 0.662237i | ||||
\(288\) | −0.183795 | + | 0.380356i | −0.0108302 | + | 0.0224127i | ||||
\(289\) | 8.39133 | − | 14.5342i | 0.493607 | − | 0.854953i | ||||
\(290\) | 17.3909 | + | 30.1219i | 1.02123 | + | 1.76882i | ||||
\(291\) | −17.4608 | − | 3.99755i | −1.02357 | − | 0.234341i | ||||
\(292\) | 0.194215i | 0.0113656i | ||||||||
\(293\) | 8.37506 | − | 14.5060i | 0.489277 | − | 0.847452i | −0.510647 | − | 0.859790i | \(-0.670594\pi\) |
0.999924 | + | 0.0123385i | \(0.00392756\pi\) | |||||||
\(294\) | −11.7633 | + | 12.3274i | −0.686049 | + | 0.718950i | ||||
\(295\) | −15.4034 | + | 26.6795i | −0.896821 | + | 1.55334i | ||||
\(296\) | −27.9810 | − | 16.1548i | −1.62636 | − | 0.938981i | ||||
\(297\) | 11.0316 | + | 8.83354i | 0.640119 | + | 0.512574i | ||||
\(298\) | −8.78157 | + | 15.2101i | −0.508703 | + | 0.881099i | ||||
\(299\) | −8.33853 | − | 2.61122i | −0.482229 | − | 0.151011i | ||||
\(300\) | −0.156859 | + | 0.0482701i | −0.00905625 | + | 0.00278688i | ||||
\(301\) | 0.0790867 | − | 11.8737i | 0.00455848 | − | 0.684388i | ||||
\(302\) | 6.41332 | − | 3.70273i | 0.369045 | − | 0.213068i | ||||
\(303\) | −11.0027 | + | 3.38586i | −0.632089 | + | 0.194513i | ||||
\(304\) | −8.85271 | − | 5.11111i | −0.507737 | − | 0.293142i | ||||
\(305\) | −23.4533 | + | 13.5408i | −1.34293 | + | 0.775342i | ||||
\(306\) | −1.10510 | − | 1.62553i | −0.0631743 | − | 0.0929254i | ||||
\(307\) | 2.98509i | 0.170368i | 0.996365 | + | 0.0851842i | \(0.0271479\pi\) | ||||
−0.996365 | + | 0.0851842i | \(0.972852\pi\) | |||||||
\(308\) | 0.0905978 | − | 0.154534i | 0.00516229 | − | 0.00880538i | ||||
\(309\) | −10.5155 | + | 11.3179i | −0.598206 | + | 0.643853i | ||||
\(310\) | 13.9839 | − | 24.2208i | 0.794232 | − | 1.37565i | ||||
\(311\) | 1.42109 | − | 2.46141i | 0.0805828 | − | 0.139574i | −0.822918 | − | 0.568161i | \(-0.807655\pi\) |
0.903500 | + | 0.428587i | \(0.140989\pi\) | |||||||
\(312\) | −8.80965 | − | 15.4345i | −0.498748 | − | 0.873808i | ||||
\(313\) | −7.32752 | + | 4.23055i | −0.414176 | + | 0.239125i | −0.692582 | − | 0.721339i | \(-0.743527\pi\) |
0.278406 | + | 0.960463i | \(0.410194\pi\) | |||||||
\(314\) | −0.248049 | − | 0.429633i | −0.0139982 | − | 0.0242456i | ||||
\(315\) | 23.5016 | − | 1.57242i | 1.32417 | − | 0.0885957i | ||||
\(316\) | −0.0362713 | + | 0.0628237i | −0.00204042 | + | 0.00353411i | ||||
\(317\) | 24.6025 | − | 14.2043i | 1.38182 | − | 0.797792i | 0.389442 | − | 0.921051i | \(-0.372668\pi\) |
0.992375 | + | 0.123259i | \(0.0393345\pi\) | |||||||
\(318\) | −2.05040 | − | 1.90504i | −0.114981 | − | 0.106829i | ||||
\(319\) | 11.3414 | + | 19.6439i | 0.634996 | + | 1.09985i | ||||
\(320\) | 12.0142 | + | 20.8093i | 0.671616 | + | 1.16327i | ||||
\(321\) | −0.196884 | − | 0.0450755i | −0.0109890 | − | 0.00251587i | ||||
\(322\) | −7.77362 | − | 4.55741i | −0.433207 | − | 0.253974i | ||||
\(323\) | −1.04497 | + | 0.603313i | −0.0581436 | + | 0.0335692i | ||||
\(324\) | −0.221629 | + | 0.0328016i | −0.0123127 | + | 0.00182231i | ||||
\(325\) | 4.10127 | − | 13.0968i | 0.227498 | − | 0.726478i | ||||
\(326\) | −28.8465 | − | 16.6545i | −1.59766 | − | 0.922410i | ||||
\(327\) | 1.62359 | − | 7.09165i | 0.0897849 | − | 0.392169i | ||||
\(328\) | −20.6629 | + | 11.9297i | −1.14092 | + | 0.658710i | ||||
\(329\) | −19.4796 | − | 11.4202i | −1.07394 | − | 0.629615i | ||||
\(330\) | 18.7778 | − | 5.77848i | 1.03368 | − | 0.318095i | ||||
\(331\) | −24.7098 | −1.35817 | −0.679086 | − | 0.734059i | \(-0.737624\pi\) | ||||
−0.679086 | + | 0.734059i | \(0.737624\pi\) | |||||||
\(332\) | −0.132599 | − | 0.229668i | −0.00727731 | − | 0.0126047i | ||||
\(333\) | −2.50013 | − | 33.9691i | −0.137006 | − | 1.86149i | ||||
\(334\) | − | 5.28083i | − | 0.288954i | ||||||
\(335\) | −6.61423 | − | 11.4562i | −0.361374 | − | 0.625918i | ||||
\(336\) | −5.20801 | − | 17.3338i | −0.284120 | − | 0.945638i | ||||
\(337\) | −4.13151 | −0.225057 | −0.112529 | − | 0.993648i | \(-0.535895\pi\) | ||||
−0.112529 | + | 0.993648i | \(0.535895\pi\) | |||||||
\(338\) | 18.2066 | + | 1.52119i | 0.990307 | + | 0.0827416i | ||||
\(339\) | 21.6927 | + | 4.96643i | 1.17819 | + | 0.269739i | ||||
\(340\) | 0.0344402 | 0.00186778 | ||||||||
\(341\) | 9.11954 | − | 15.7955i | 0.493851 | − | 0.855375i | ||||
\(342\) | −0.800969 | − | 10.8827i | −0.0433114 | − | 0.588469i | ||||
\(343\) | −0.370042 | + | 18.5166i | −0.0199804 | + | 0.999800i | ||||
\(344\) | 11.0605 | + | 6.38578i | 0.596342 | + | 0.344298i | ||||
\(345\) | 3.66363 | + | 11.9054i | 0.197243 | + | 0.640963i | ||||
\(346\) | −5.15024 | − | 2.97349i | −0.276878 | − | 0.159856i | ||||
\(347\) | 8.01426 | − | 4.62703i | 0.430228 | − | 0.248392i | −0.269216 | − | 0.963080i | \(-0.586764\pi\) |
0.699444 | + | 0.714688i | \(0.253431\pi\) | |||||||
\(348\) | −0.350522 | − | 0.0802499i | −0.0187899 | − | 0.00430185i | ||||
\(349\) | 7.84315 | − | 4.52825i | 0.419834 | − | 0.242391i | −0.275172 | − | 0.961395i | \(-0.588735\pi\) |
0.695006 | + | 0.719004i | \(0.255402\pi\) | |||||||
\(350\) | 7.15801 | − | 12.2095i | 0.382612 | − | 0.652626i | ||||
\(351\) | 8.23460 | − | 16.8283i | 0.439531 | − | 0.898228i | ||||
\(352\) | 0.191490 | + | 0.331671i | 0.0102065 | + | 0.0176781i | ||||
\(353\) | −11.7797 | −0.626968 | −0.313484 | − | 0.949593i | \(-0.601496\pi\) | ||||
−0.313484 | + | 0.949593i | \(0.601496\pi\) | |||||||
\(354\) | 7.43238 | + | 24.1523i | 0.395026 | + | 1.28368i | ||||
\(355\) | − | 25.0502i | − | 1.32953i | ||||||
\(356\) | −0.171302 | −0.00907901 | ||||||||
\(357\) | −2.07933 | − | 0.490648i | −0.110050 | − | 0.0259679i | ||||
\(358\) | 0.703600 | − | 1.21867i | 0.0371864 | − | 0.0644088i | ||||
\(359\) | 1.14560 | − | 0.661413i | 0.0604625 | − | 0.0349080i | −0.469464 | − | 0.882952i | \(-0.655553\pi\) |
0.529927 | + | 0.848044i | \(0.322220\pi\) | |||||||
\(360\) | −11.0227 | + | 22.8111i | −0.580948 | + | 1.20225i | ||||
\(361\) | 12.3014 | 0.647440 | ||||||||
\(362\) | −3.25940 | + | 5.64544i | −0.171310 | + | 0.296718i | ||||
\(363\) | −5.96400 | + | 1.83530i | −0.313029 | + | 0.0963283i | ||||
\(364\) | −0.226141 | − | 0.0724739i | −0.0118530 | − | 0.00379866i | ||||
\(365\) | 23.1521i | 1.21184i | ||||||||
\(366\) | −4.95756 | + | 21.6540i | −0.259136 | + | 1.13187i | ||||
\(367\) | 5.82994i | 0.304320i | 0.988356 | + | 0.152160i | \(0.0486230\pi\) | ||||
−0.988356 | + | 0.152160i | \(0.951377\pi\) | |||||||
\(368\) | 8.28923 | − | 4.78579i | 0.432106 | − | 0.249477i | ||||
\(369\) | −22.6473 | − | 10.9435i | −1.17897 | − | 0.569697i | ||||
\(370\) | −41.0071 | − | 23.6754i | −2.13186 | − | 1.23083i | ||||
\(371\) | −3.04198 | − | 0.0202616i | −0.157932 | − | 0.00105193i | ||||
\(372\) | 0.0850429 | + | 0.276356i | 0.00440927 | + | 0.0143284i | ||||
\(373\) | 3.23740 | 0.167626 | 0.0838130 | − | 0.996482i | \(-0.473290\pi\) | ||||
0.0838130 | + | 0.996482i | \(0.473290\pi\) | |||||||
\(374\) | −1.78202 | −0.0921460 | ||||||||
\(375\) | 5.86403 | − | 1.80454i | 0.302817 | − | 0.0931859i | ||||
\(376\) | 21.0334 | − | 12.1437i | 1.08472 | − | 0.626262i | ||||
\(377\) | 22.1300 | − | 20.3581i | 1.13975 | − | 1.04850i | ||||
\(378\) | 12.1767 | − | 15.0008i | 0.626301 | − | 0.771557i | ||||
\(379\) | −11.8507 | − | 20.5261i | −0.608731 | − | 1.05435i | −0.991450 | − | 0.130488i | \(-0.958346\pi\) |
0.382719 | − | 0.923865i | \(-0.374988\pi\) | |||||||
\(380\) | 0.165581 | + | 0.0955982i | 0.00849412 | + | 0.00490408i | ||||
\(381\) | 1.72530 | + | 1.60299i | 0.0883899 | + | 0.0821235i | ||||
\(382\) | −1.90068 | + | 3.29207i | −0.0972472 | + | 0.168437i | ||||
\(383\) | 35.5991 | 1.81903 | 0.909515 | − | 0.415671i | \(-0.136453\pi\) | ||||
0.909515 | + | 0.415671i | \(0.136453\pi\) | |||||||
\(384\) | 18.7373 | + | 4.28980i | 0.956185 | + | 0.218913i | ||||
\(385\) | 10.8001 | − | 18.4218i | 0.550422 | − | 0.938861i | ||||
\(386\) | −29.5428 | − | 17.0565i | −1.50369 | − | 0.868154i | ||||
\(387\) | 0.988266 | + | 13.4275i | 0.0502364 | + | 0.682557i | ||||
\(388\) | − | 0.257446i | − | 0.0130699i | ||||||
\(389\) | 0.288306 | + | 0.166454i | 0.0146177 | + | 0.00843954i | 0.507291 | − | 0.861775i | \(-0.330647\pi\) |
−0.492673 | + | 0.870214i | \(0.663980\pi\) | |||||||
\(390\) | −12.9108 | − | 22.6198i | −0.653765 | − | 1.14540i | ||||
\(391\) | − | 1.12982i | − | 0.0571377i | ||||||
\(392\) | −17.1173 | − | 10.1891i | −0.864552 | − | 0.514625i | ||||
\(393\) | 14.7931 | + | 13.7443i | 0.746212 | + | 0.693309i | ||||
\(394\) | 9.95192 | 0.501370 | ||||||||
\(395\) | −4.32385 | + | 7.48913i | −0.217557 | + | 0.376819i | ||||
\(396\) | −0.0883732 | + | 0.182885i | −0.00444092 | + | 0.00919033i | ||||
\(397\) | − | 29.6338i | − | 1.48728i | −0.668581 | − | 0.743639i | \(-0.733098\pi\) | ||
0.668581 | − | 0.743639i | \(-0.266902\pi\) | |||||||
\(398\) | −27.0497 | −1.35588 | ||||||||
\(399\) | −8.63502 | − | 8.13067i | −0.432292 | − | 0.407042i | ||||
\(400\) | 7.51672 | + | 13.0193i | 0.375836 | + | 0.650967i | ||||
\(401\) | 8.55524 | + | 4.93937i | 0.427228 | + | 0.246660i | 0.698165 | − | 0.715937i | \(-0.254000\pi\) |
−0.270937 | + | 0.962597i | \(0.587333\pi\) | |||||||
\(402\) | −10.5773 | − | 2.42161i | −0.527547 | − | 0.120779i | ||||
\(403\) | −23.0740 | − | 7.22567i | −1.14940 | − | 0.359936i | ||||
\(404\) | −0.0827267 | − | 0.143287i | −0.00411581 | − | 0.00712878i | ||||
\(405\) | −26.4201 | + | 3.91024i | −1.31283 | + | 0.194301i | ||||
\(406\) | 26.9582 | − | 15.3258i | 1.33791 | − | 0.760608i | ||||
\(407\) | −26.7426 | − | 15.4398i | −1.32558 | − | 0.765325i | ||||
\(408\) | 1.56411 | − | 1.68346i | 0.0774352 | − | 0.0833439i | ||||
\(409\) | 2.89726 | − | 1.67273i | 0.143260 | − | 0.0827113i | −0.426657 | − | 0.904414i | \(-0.640309\pi\) |
0.569917 | + | 0.821702i | \(0.306975\pi\) | |||||||
\(410\) | −30.2822 | + | 17.4834i | −1.49553 | + | 0.863444i | ||||
\(411\) | 1.50398 | − | 1.61874i | 0.0741857 | − | 0.0798464i | ||||
\(412\) | −0.192291 | − | 0.111019i | −0.00947349 | − | 0.00546952i | ||||
\(413\) | 23.6944 | + | 13.8912i | 1.16593 | + | 0.683542i | ||||
\(414\) | 9.19980 | + | 4.44550i | 0.452146 | + | 0.218484i | ||||
\(415\) | −15.8069 | − | 27.3784i | −0.775932 | − | 1.34395i | ||||
\(416\) | 0.373648 | − | 0.343731i | 0.0183196 | − | 0.0168528i | ||||
\(417\) | −6.99895 | − | 1.60237i | −0.342740 | − | 0.0784684i | ||||
\(418\) | −8.56755 | − | 4.94648i | −0.419052 | − | 0.241940i | ||||
\(419\) | −7.87912 | − | 13.6470i | −0.384920 | − | 0.666702i | 0.606838 | − | 0.794826i | \(-0.292438\pi\) |
−0.991758 | + | 0.128124i | \(0.959104\pi\) | |||||||
\(420\) | 0.0974105 | + | 0.324212i | 0.00475315 | + | 0.0158199i | ||||
\(421\) | −1.57179 | −0.0766041 | −0.0383021 | − | 0.999266i | \(-0.512195\pi\) | ||||
−0.0383021 | + | 0.999266i | \(0.512195\pi\) | |||||||
\(422\) | − | 32.7924i | − | 1.59631i | ||||||
\(423\) | 23.0534 | + | 11.1398i | 1.12089 | + | 0.541634i | ||||
\(424\) | 1.63600 | − | 2.83364i | 0.0794514 | − | 0.137614i | ||||
\(425\) | 1.77454 | 0.0860778 | ||||||||
\(426\) | −15.0535 | − | 13.9862i | −0.729343 | − | 0.677636i | ||||
\(427\) | 11.9329 | + | 20.9900i | 0.577473 | + | 1.01578i | ||||
\(428\) | − | 0.00290290i | − | 0.000140317i | ||||||
\(429\) | −8.41974 | − | 14.7514i | −0.406509 | − | 0.712205i | ||||
\(430\) | 16.2095 | + | 9.35856i | 0.781692 | + | 0.451310i | ||||
\(431\) | 35.3995i | 1.70514i | 0.522617 | + | 0.852568i | \(0.324956\pi\) | ||||
−0.522617 | + | 0.852568i | \(0.675044\pi\) | |||||||
\(432\) | 7.45959 | + | 19.1190i | 0.358900 | + | 0.919862i | ||||
\(433\) | 31.5305 | + | 18.2041i | 1.51526 | + | 0.874834i | 0.999840 | + | 0.0178948i | \(0.00569638\pi\) |
0.515417 | + | 0.856939i | \(0.327637\pi\) | |||||||
\(434\) | −21.5108 | − | 12.6111i | −1.03255 | − | 0.605350i | ||||
\(435\) | −41.7853 | − | 9.56650i | −2.00345 | − | 0.458678i | ||||
\(436\) | 0.104561 | 0.00500756 | ||||||||
\(437\) | 3.13613 | − | 5.43194i | 0.150022 | − | 0.259845i | ||||
\(438\) | 13.9128 | + | 12.9265i | 0.664780 | + | 0.617650i | ||||
\(439\) | −28.2871 | − | 16.3316i | −1.35007 | − | 0.779464i | −0.361813 | − | 0.932251i | \(-0.617842\pi\) |
−0.988259 | + | 0.152786i | \(0.951175\pi\) | |||||||
\(440\) | 11.4842 | + | 19.8913i | 0.547490 | + | 0.948280i | ||||
\(441\) | −1.26232 | − | 20.9620i | −0.0601104 | − | 0.998192i | ||||
\(442\) | 0.515815 | + | 2.30536i | 0.0245348 | + | 0.109655i | ||||
\(443\) | 4.64059 | − | 2.67925i | 0.220481 | − | 0.127295i | −0.385692 | − | 0.922628i | \(-0.626037\pi\) |
0.606173 | + | 0.795333i | \(0.292704\pi\) | |||||||
\(444\) | 0.467884 | − | 0.143982i | 0.0222048 | − | 0.00683308i | ||||
\(445\) | −20.4208 | −0.968037 | ||||||||
\(446\) | 7.19273 | 0.340586 | ||||||||
\(447\) | −6.36635 | − | 20.6881i | −0.301118 | − | 0.978514i | ||||
\(448\) | 18.6237 | − | 10.5876i | 0.879886 | − | 0.500218i | ||||
\(449\) | 25.3524 | + | 14.6372i | 1.19645 | + | 0.690774i | 0.959763 | − | 0.280811i | \(-0.0906035\pi\) |
0.236692 | + | 0.971585i | \(0.423937\pi\) | |||||||
\(450\) | −6.98225 | + | 14.4495i | −0.329146 | + | 0.681157i | ||||
\(451\) | −19.7484 | + | 11.4017i | −0.929916 | + | 0.536887i | ||||
\(452\) | 0.319843i | 0.0150441i | ||||||||
\(453\) | −2.03683 | + | 8.89660i | −0.0956984 | + | 0.417999i | ||||
\(454\) | 32.4742i | 1.52409i | ||||||||
\(455\) | −26.9580 | − | 8.63952i | −1.26381 | − | 0.405027i | ||||
\(456\) | 12.1928 | − | 3.75209i | 0.570981 | − | 0.175708i | ||||
\(457\) | 15.6657 | − | 27.1338i | 0.732812 | − | 1.26927i | −0.222865 | − | 0.974849i | \(-0.571541\pi\) |
0.955677 | − | 0.294418i | \(-0.0951257\pi\) | |||||||
\(458\) | 35.0792 | 1.63914 | ||||||||
\(459\) | 2.39470 | + | 0.365838i | 0.111775 | + | 0.0170759i | ||||
\(460\) | −0.155042 | + | 0.0895134i | −0.00722886 | + | 0.00417358i | ||||
\(461\) | 2.74375 | − | 4.75231i | 0.127789 | − | 0.221337i | −0.795031 | − | 0.606569i | \(-0.792545\pi\) |
0.922820 | + | 0.385232i | \(0.125879\pi\) | |||||||
\(462\) | −5.04025 | − | 16.7755i | −0.234494 | − | 0.780466i | ||||
\(463\) | 10.4977 | 0.487870 | 0.243935 | − | 0.969792i | \(-0.421562\pi\) | ||||
0.243935 | + | 0.969792i | \(0.421562\pi\) | |||||||
\(464\) | 32.9390i | 1.52916i | ||||||||
\(465\) | 10.1379 | + | 32.9440i | 0.470132 | + | 1.52774i | ||||
\(466\) | −16.7646 | −0.776607 | ||||||||
\(467\) | −6.11729 | − | 10.5955i | −0.283075 | − | 0.490299i | 0.689066 | − | 0.724699i | \(-0.258021\pi\) |
−0.972140 | + | 0.234399i | \(0.924688\pi\) | |||||||
\(468\) | 0.262175 | + | 0.0613895i | 0.0121190 | + | 0.00283773i | ||||
\(469\) | −10.2530 | + | 5.82884i | −0.473437 | + | 0.269151i | ||||
\(470\) | 30.8252 | − | 17.7969i | 1.42186 | − | 0.820911i | ||||
\(471\) | 0.595989 | + | 0.136448i | 0.0274617 | + | 0.00628721i | ||||
\(472\) | −25.5845 | + | 14.7712i | −1.17762 | + | 0.679901i | ||||
\(473\) | 10.5710 | + | 6.10315i | 0.486054 | + | 0.280623i | ||||
\(474\) | 2.08633 | + | 6.77973i | 0.0958281 | + | 0.311403i | ||||
\(475\) | 8.53159 | + | 4.92571i | 0.391456 | + | 0.226007i | ||||
\(476\) | 0.000204515 | − | 0.0307049i | 9.37394e−6 | − | 0.00140736i | ||||
\(477\) | 3.44005 | − | 0.253189i | 0.157509 | − | 0.0115927i | ||||
\(478\) | 7.23357 | − | 12.5289i | 0.330856 | − | 0.573059i | ||||
\(479\) | −15.7699 | −0.720544 | −0.360272 | − | 0.932847i | \(-0.617316\pi\) | ||||
−0.360272 | + | 0.932847i | \(0.617316\pi\) | |||||||
\(480\) | −0.705510 | − | 0.161523i | −0.0322020 | − | 0.00737246i | ||||
\(481\) | −12.2334 | + | 39.0655i | −0.557796 | + | 1.78123i | ||||
\(482\) | 22.3323 | 1.01721 | ||||||||
\(483\) | 10.6359 | − | 3.19559i | 0.483949 | − | 0.145404i | ||||
\(484\) | −0.0448418 | − | 0.0776683i | −0.00203826 | − | 0.00353038i | ||||
\(485\) | − | 30.6899i | − | 1.39355i | ||||||
\(486\) | −12.4013 | + | 18.0599i | −0.562534 | + | 0.819212i | ||||
\(487\) | −12.4868 | − | 21.6278i | −0.565833 | − | 0.980051i | −0.996972 | − | 0.0777654i | \(-0.975221\pi\) |
0.431139 | − | 0.902285i | \(-0.358112\pi\) | |||||||
\(488\) | −25.9701 | −1.17561 | ||||||||
\(489\) | 39.2357 | − | 12.0740i | 1.77430 | − | 0.546005i | ||||
\(490\) | −25.0859 | − | 14.9324i | −1.13327 | − | 0.674577i | ||||
\(491\) | 36.6633 | − | 21.1676i | 1.65459 | − | 0.955280i | 0.679444 | − | 0.733727i | \(-0.262221\pi\) |
0.975148 | − | 0.221552i | \(-0.0711124\pi\) | |||||||
\(492\) | 0.0806770 | − | 0.352387i | 0.00363720 | − | 0.0158868i | ||||
\(493\) | 3.36720 | + | 1.94405i | 0.151651 | + | 0.0875557i | ||||
\(494\) | −3.91923 | + | 12.5154i | −0.176334 | + | 0.563096i | ||||
\(495\) | −10.5349 | + | 21.8015i | −0.473507 | + | 0.979906i | ||||
\(496\) | 22.9376 | − | 13.2430i | 1.02993 | − | 0.594630i | ||||
\(497\) | −22.3333 | − | 0.148755i | −1.00179 | − | 0.00667257i | ||||
\(498\) | −25.2780 | − | 5.78725i | −1.13273 | − | 0.259333i | ||||
\(499\) | 4.70714 | + | 8.15301i | 0.210721 | + | 0.364979i | 0.951940 | − | 0.306284i | \(-0.0990856\pi\) |
−0.741220 | + | 0.671263i | \(0.765752\pi\) | |||||||
\(500\) | 0.0440902 | + | 0.0763664i | 0.00197177 | + | 0.00341521i | ||||
\(501\) | 4.76797 | + | 4.42994i | 0.213017 | + | 0.197915i | ||||
\(502\) | −19.5427 | + | 11.2830i | −0.872232 | + | 0.503583i | ||||
\(503\) | −4.94844 | + | 8.57095i | −0.220640 | + | 0.382160i | −0.955003 | − | 0.296598i | \(-0.904148\pi\) |
0.734362 | + | 0.678758i | \(0.237481\pi\) | |||||||
\(504\) | 20.2716 | + | 9.96268i | 0.902970 | + | 0.443773i | ||||
\(505\) | −9.86174 | − | 17.0810i | −0.438842 | − | 0.760096i | ||||
\(506\) | 8.02223 | − | 4.63163i | 0.356631 | − | 0.205901i | ||||
\(507\) | −16.6464 | + | 15.1623i | −0.739295 | + | 0.673382i | ||||
\(508\) | −0.0169238 | + | 0.0293129i | −0.000750872 | + | 0.00130055i | ||||
\(509\) | 15.9736 | − | 27.6670i | 0.708015 | − | 1.22632i | −0.257577 | − | 0.966258i | \(-0.582924\pi\) |
0.965592 | − | 0.260061i | \(-0.0837426\pi\) | |||||||
\(510\) | 2.29226 | − | 2.46717i | 0.101503 | − | 0.109248i | ||||
\(511\) | 20.6411 | + | 0.137483i | 0.913107 | + | 0.00608190i | ||||
\(512\) | 23.0353i | 1.01803i | ||||||||
\(513\) | 10.4977 | + | 8.40602i | 0.463485 | + | 0.371135i | ||||
\(514\) | −13.3718 | + | 7.72024i | −0.589807 | + | 0.340525i | ||||
\(515\) | −22.9228 | − | 13.2345i | −1.01010 | − | 0.583180i | ||||
\(516\) | −0.184948 | + | 0.0569140i | −0.00814187 | + | 0.00250550i | ||||
\(517\) | 20.1025 | − | 11.6062i | 0.884108 | − | 0.510440i | ||||
\(518\) | −21.3512 | + | 36.4189i | −0.938116 | + | 1.60016i | ||||
\(519\) | 7.00511 | − | 2.15568i | 0.307490 | − | 0.0946239i | ||||
\(520\) | 22.4088 | − | 20.6146i | 0.982690 | − | 0.904009i | ||||
\(521\) | −1.58017 | + | 2.73693i | −0.0692283 | + | 0.119907i | −0.898562 | − | 0.438847i | \(-0.855387\pi\) |
0.829333 | + | 0.558754i | \(0.188720\pi\) | |||||||
\(522\) | −29.0787 | + | 19.7688i | −1.27274 | + | 0.865257i | ||||
\(523\) | −9.19469 | − | 5.30855i | −0.402056 | − | 0.232127i | 0.285315 | − | 0.958434i | \(-0.407902\pi\) |
−0.687371 | + | 0.726307i | \(0.741235\pi\) | |||||||
\(524\) | −0.145108 | + | 0.251334i | −0.00633907 | + | 0.0109796i | ||||
\(525\) | 5.01910 | + | 16.7051i | 0.219051 | + | 0.729069i | ||||
\(526\) | −4.87066 | + | 8.43624i | −0.212371 | + | 0.367837i | ||||
\(527\) | − | 3.12640i | − | 0.136188i | ||||||
\(528\) | 18.1366 | + | 4.15228i | 0.789296 | + | 0.180705i | ||||
\(529\) | −8.56348 | − | 14.8324i | −0.372325 | − | 0.644886i | ||||
\(530\) | 2.39762 | − | 4.15279i | 0.104146 | − | 0.180386i | ||||
\(531\) | −28.0415 | − | 13.5501i | −1.21690 | − | 0.588025i | ||||
\(532\) | 0.0862131 | − | 0.147055i | 0.00373781 | − | 0.00637563i | ||||
\(533\) | 20.4665 | + | 22.2478i | 0.886501 | + | 0.963659i | ||||
\(534\) | −11.4015 | + | 12.2715i | −0.493390 | + | 0.531038i | ||||
\(535\) | − | 0.346052i | − | 0.0149611i | ||||||
\(536\) | − | 12.6856i | − | 0.547933i | ||||||
\(537\) | 0.510087 | + | 1.65758i | 0.0220119 | + | 0.0715298i | ||||
\(538\) | 10.0590i | 0.433672i | ||||||||
\(539\) | −16.3597 | − | 9.73810i | −0.704661 | − | 0.419450i | ||||
\(540\) | −0.139524 | − | 0.357601i | −0.00600416 | − | 0.0153887i | ||||
\(541\) | 10.0471 | + | 17.4021i | 0.431958 | + | 0.748173i | 0.997042 | − | 0.0768601i | \(-0.0244895\pi\) |
−0.565084 | + | 0.825034i | \(0.691156\pi\) | |||||||
\(542\) | 9.84580 | + | 17.0534i | 0.422913 | + | 0.732507i | ||||
\(543\) | −2.36295 | − | 7.67866i | −0.101404 | − | 0.329523i | ||||
\(544\) | 0.0568524 | + | 0.0328238i | 0.00243753 | + | 0.00140731i | ||||
\(545\) | 12.4646 | 0.533924 | ||||||||
\(546\) | −20.2432 | + | 11.3762i | −0.866327 | + | 0.486857i | ||||
\(547\) | 18.0920 | 0.773556 | 0.386778 | − | 0.922173i | \(-0.373588\pi\) | ||||
0.386778 | + | 0.922173i | \(0.373588\pi\) | |||||||
\(548\) | 0.0275023 | + | 0.0158785i | 0.00117484 | + | 0.000678295i | ||||
\(549\) | −15.3923 | − | 22.6410i | −0.656926 | − | 0.966296i | ||||
\(550\) | 7.27460 | + | 12.6000i | 0.310190 | + | 0.537265i | ||||
\(551\) | 10.7925 | + | 18.6931i | 0.459776 | + | 0.796355i | ||||
\(552\) | −2.66579 | + | 11.6438i | −0.113463 | + | 0.495594i | ||||
\(553\) | 6.65120 | + | 3.89937i | 0.282838 | + | 0.165818i | ||||
\(554\) | 33.1906i | 1.41014i | ||||||||
\(555\) | 55.7759 | − | 17.1639i | 2.36755 | − | 0.728567i | ||||
\(556\) | − | 0.103194i | − | 0.00437641i | ||||||
\(557\) | − | 32.7781i | − | 1.38885i | −0.719563 | − | 0.694427i | \(-0.755658\pi\) | ||
0.719563 | − | 0.694427i | \(-0.244342\pi\) | |||||||
\(558\) | 25.4573 | + | 12.3014i | 1.07769 | + | 0.520760i | ||||
\(559\) | 4.83569 | − | 15.4420i | 0.204528 | − | 0.653128i | ||||
\(560\) | 26.9579 | − | 15.3257i | 1.13918 | − | 0.647628i | ||||
\(561\) | 1.49489 | − | 1.60895i | 0.0631142 | − | 0.0679301i | ||||
\(562\) | −11.8080 | + | 20.4521i | −0.498090 | + | 0.862718i | ||||
\(563\) | −9.35180 | − | 16.1978i | −0.394131 | − | 0.682656i | 0.598859 | − | 0.800855i | \(-0.295621\pi\) |
−0.992990 | + | 0.118199i | \(0.962288\pi\) | |||||||
\(564\) | −0.0821237 | + | 0.358706i | −0.00345803 | + | 0.0151042i | ||||
\(565\) | 38.1281i | 1.60406i | ||||||||
\(566\) | −6.28359 | + | 10.8835i | −0.264119 | + | 0.457468i | ||||
\(567\) | 3.32925 | + | 23.5779i | 0.139815 | + | 0.990178i | ||||
\(568\) | 12.0111 | − | 20.8038i | 0.503973 | − | 0.872908i | ||||
\(569\) | −2.94338 | − | 1.69936i | −0.123393 | − | 0.0712408i | 0.437033 | − | 0.899445i | \(-0.356029\pi\) |
−0.560426 | + | 0.828205i | \(0.689363\pi\) | |||||||
\(570\) | 17.8690 | − | 5.49881i | 0.748448 | − | 0.230320i | ||||
\(571\) | 4.29368 | − | 7.43687i | 0.179685 | − | 0.311224i | −0.762088 | − | 0.647474i | \(-0.775825\pi\) |
0.941773 | + | 0.336250i | \(0.109159\pi\) | |||||||
\(572\) | 0.179659 | − | 0.165275i | 0.00751194 | − | 0.00691048i | ||||
\(573\) | −1.37793 | − | 4.47772i | −0.0575638 | − | 0.187060i | ||||
\(574\) | 15.4074 | + | 27.1017i | 0.643092 | + | 1.13120i | ||||
\(575\) | −7.98855 | + | 4.61219i | −0.333146 | + | 0.192342i | ||||
\(576\) | −20.0886 | + | 13.6570i | −0.837024 | + | 0.569042i | ||||
\(577\) | −19.0273 | − | 10.9854i | −0.792117 | − | 0.457329i | 0.0485903 | − | 0.998819i | \(-0.484527\pi\) |
−0.840707 | + | 0.541490i | \(0.817860\pi\) | |||||||
\(578\) | 20.4261 | − | 11.7930i | 0.849616 | − | 0.490526i | ||||
\(579\) | 40.1827 | − | 12.3654i | 1.66993 | − | 0.513889i | ||||
\(580\) | − | 0.616092i | − | 0.0255818i | ||||||
\(581\) | −24.5029 | + | 13.9300i | −1.01655 | + | 0.577913i | ||||
\(582\) | −18.4425 | − | 17.1350i | −0.764465 | − | 0.710268i | ||||
\(583\) | 1.56360 | − | 2.70823i | 0.0647575 | − | 0.112163i | ||||
\(584\) | −11.1010 | + | 19.2274i | −0.459361 | + | 0.795636i | ||||
\(585\) | 31.2536 | + | 7.31816i | 1.29218 | + | 0.302569i | ||||
\(586\) | 20.3866 | − | 11.7702i | 0.842161 | − | 0.486222i | ||||
\(587\) | 21.5356 | + | 37.3007i | 0.888868 | + | 1.53956i | 0.841215 | + | 0.540701i | \(0.181841\pi\) |
0.0476531 | + | 0.998864i | \(0.484826\pi\) | |||||||
\(588\) | 0.289627 | − | 0.0849204i | 0.0119440 | − | 0.00350206i | ||||
\(589\) | 8.67818 | − | 15.0310i | 0.357578 | − | 0.619343i | ||||
\(590\) | −37.4949 | + | 21.6477i | −1.54364 | + | 0.891222i | ||||
\(591\) | −8.34839 | + | 8.98542i | −0.343407 | + | 0.369611i | ||||
\(592\) | −22.4211 | − | 38.8346i | −0.921503 | − | 1.59609i | ||||
\(593\) | −15.2562 | − | 26.4245i | −0.626498 | − | 1.08513i | −0.988249 | − | 0.152851i | \(-0.951155\pi\) |
0.361752 | − | 0.932274i | \(-0.382179\pi\) | |||||||
\(594\) | 7.21931 | + | 18.5031i | 0.296212 | + | 0.759192i | ||||
\(595\) | 0.0243800 | − | 3.66030i | 0.000999483 | − | 0.150058i | ||||
\(596\) | 0.269418 | − | 0.155549i | 0.0110358 | − | 0.00637152i | ||||
\(597\) | 22.6913 | − | 24.4227i | 0.928692 | − | 0.999556i | ||||
\(598\) | −8.31392 | − | 9.03753i | −0.339982 | − | 0.369572i | ||||
\(599\) | 22.8836 | + | 13.2118i | 0.934998 | + | 0.539821i | 0.888389 | − | 0.459092i | \(-0.151825\pi\) |
0.0466090 | + | 0.998913i | \(0.485159\pi\) | |||||||
\(600\) | −18.2882 | − | 4.18698i | −0.746612 | − | 0.170933i | ||||
\(601\) | −32.5373 | + | 18.7854i | −1.32722 | + | 0.766272i | −0.984869 | − | 0.173299i | \(-0.944557\pi\) |
−0.342353 | + | 0.939571i | \(0.611224\pi\) | |||||||
\(602\) | 8.43981 | − | 14.3959i | 0.343981 | − | 0.586732i | ||||
\(603\) | 11.0594 | − | 7.51863i | 0.450375 | − | 0.306182i | ||||
\(604\) | −0.131174 | −0.00533738 | ||||||||
\(605\) | −5.34554 | − | 9.25874i | −0.217327 | − | 0.376421i | ||||
\(606\) | −15.7706 | − | 3.61059i | −0.640637 | − | 0.146670i | ||||
\(607\) | − | 0.974616i | − | 0.0395585i | −0.999804 | − | 0.0197792i | \(-0.993704\pi\) | ||
0.999804 | − | 0.0197792i | \(-0.00629633\pi\) | |||||||
\(608\) | 0.182222 | + | 0.315619i | 0.00739010 | + | 0.0128000i | ||||
\(609\) | −8.77707 | + | 37.1965i | −0.355665 | + | 1.50728i | ||||
\(610\) | −38.0599 | −1.54100 | ||||||||
\(611\) | −20.8335 | − | 22.6467i | −0.842832 | − | 0.916189i | ||||
\(612\) | 0.00255562 | + | 0.0347230i | 0.000103305 | + | 0.00140359i | ||||
\(613\) | 0.0794798 | 0.00321016 | 0.00160508 | − | 0.999999i | \(-0.499489\pi\) | ||||
0.00160508 | + | 0.999999i | \(0.499489\pi\) | |||||||
\(614\) | −2.09760 | + | 3.63316i | −0.0846524 | + | 0.146622i | ||||
\(615\) | 9.61740 | − | 42.0076i | 0.387811 | − | 1.69391i | ||||
\(616\) | 17.8021 | − | 10.1206i | 0.717268 | − | 0.407769i | ||||
\(617\) | 8.99665 | + | 5.19422i | 0.362192 | + | 0.209111i | 0.670042 | − | 0.742323i | \(-0.266276\pi\) |
−0.307850 | + | 0.951435i | \(0.599610\pi\) | |||||||
\(618\) | −20.7514 | + | 6.38583i | −0.834744 | + | 0.256876i | ||||
\(619\) | 34.3765 | + | 19.8473i | 1.38171 | + | 0.797729i | 0.992362 | − | 0.123362i | \(-0.0393678\pi\) |
0.389346 | + | 0.921092i | \(0.372701\pi\) | |||||||
\(620\) | −0.429025 | + | 0.247698i | −0.0172301 | + | 0.00994778i | ||||
\(621\) | −11.7312 | + | 4.57714i | −0.470758 | + | 0.183674i | ||||
\(622\) | 3.45922 | − | 1.99718i | 0.138702 | − | 0.0800797i | ||||
\(623\) | −0.121264 | + | 18.2060i | −0.00485834 | + | 0.729407i | ||||
\(624\) | 0.121970 | − | 24.6649i | 0.00488273 | − | 0.987386i | ||||
\(625\) | 14.7718 | + | 25.5854i | 0.590870 | + | 1.02342i | ||||
\(626\) | −11.8911 | −0.475263 | ||||||||
\(627\) | 11.6532 | − | 3.58603i | 0.465383 | − | 0.143212i | ||||
\(628\) | 0.00878741i | 0.000350656i | ||||||||
\(629\) | −5.29316 | −0.211052 | ||||||||
\(630\) | 29.7087 | + | 14.6006i | 1.18362 | + | 0.581703i | ||||
\(631\) | −22.2297 | + | 38.5030i | −0.884952 | + | 1.53278i | −0.0391833 | + | 0.999232i | \(0.512476\pi\) |
−0.845769 | + | 0.533550i | \(0.820858\pi\) | |||||||
\(632\) | −7.18177 | + | 4.14640i | −0.285676 | + | 0.164935i | ||||
\(633\) | 29.6077 | + | 27.5087i | 1.17680 | + | 1.09337i | ||||
\(634\) | 39.9250 | 1.58562 | ||||||||
\(635\) | −2.01746 | + | 3.49435i | −0.0800606 | + | 0.138669i | ||||
\(636\) | 0.0145811 | + | 0.0473827i | 0.000578177 | + | 0.00187885i | ||||
\(637\) | −7.86258 | + | 23.9829i | −0.311527 | + | 0.950237i | ||||
\(638\) | 31.8780i | 1.26206i | ||||||||
\(639\) | 25.2559 | − | 1.85884i | 0.999107 | − | 0.0735345i | ||||
\(640\) | 32.9335i | 1.30181i | ||||||||
\(641\) | 22.5064 | − | 12.9941i | 0.888950 | − | 0.513235i | 0.0153508 | − | 0.999882i | \(-0.495113\pi\) |
0.873599 | + | 0.486647i | \(0.161780\pi\) | |||||||
\(642\) | −0.207953 | − | 0.193210i | −0.00820725 | − | 0.00762540i | ||||
\(643\) | 6.96396 | + | 4.02064i | 0.274632 | + | 0.158559i | 0.630991 | − | 0.775790i | \(-0.282649\pi\) |
−0.356359 | + | 0.934349i | \(0.615982\pi\) | |||||||
\(644\) | 0.0788843 | + | 0.138758i | 0.00310848 | + | 0.00546782i | ||||
\(645\) | −22.0474 | + | 6.78464i | −0.868116 | + | 0.267145i | ||||
\(646\) | −1.69577 | −0.0667193 | ||||||||
\(647\) | −19.5481 | −0.768516 | −0.384258 | − | 0.923226i | \(-0.625543\pi\) | ||||
−0.384258 | + | 0.923226i | \(0.625543\pi\) | |||||||
\(648\) | −23.8163 | − | 9.42052i | −0.935594 | − | 0.370073i | ||||
\(649\) | −24.4522 | + | 14.1175i | −0.959832 | + | 0.554159i | ||||
\(650\) | 14.1947 | − | 13.0581i | 0.556760 | − | 0.512182i | ||||
\(651\) | 29.4312 | − | 8.84270i | 1.15350 | − | 0.346573i | ||||
\(652\) | 0.295003 | + | 0.510961i | 0.0115532 | + | 0.0200108i | ||||
\(653\) | 31.6753 | + | 18.2877i | 1.23955 | + | 0.715654i | 0.969002 | − | 0.247053i | \(-0.0794621\pi\) |
0.270547 | + | 0.962707i | \(0.412795\pi\) | |||||||
\(654\) | 6.95932 | − | 7.49035i | 0.272131 | − | 0.292896i | ||||
\(655\) | −17.2981 | + | 29.9612i | −0.675894 | + | 1.17068i | ||||
\(656\) | −33.1143 | −1.29290 | ||||||||
\(657\) | −23.3422 | + | 1.71799i | −0.910664 | + | 0.0670251i | ||||
\(658\) | −15.6837 | − | 27.5876i | −0.611413 | − | 1.07548i | ||||
\(659\) | −24.3137 | − | 14.0375i | −0.947126 | − | 0.546824i | −0.0549393 | − | 0.998490i | \(-0.517497\pi\) |
−0.892187 | + | 0.451666i | \(0.850830\pi\) | |||||||
\(660\) | −0.339228 | − | 0.0776642i | −0.0132044 | − | 0.00302308i | ||||
\(661\) | 0.894387i | 0.0347876i | 0.999849 | + | 0.0173938i | \(0.00553690\pi\) | ||||
−0.999849 | + | 0.0173938i | \(0.994463\pi\) | |||||||
\(662\) | −30.0742 | − | 17.3634i | −1.16887 | − | 0.674847i | ||||
\(663\) | −2.51417 | − | 1.46818i | −0.0976424 | − | 0.0570195i | ||||
\(664\) | − | 30.3164i | − | 1.17651i | ||||||
\(665\) | 10.2774 | − | 17.5302i | 0.398539 | − | 0.679792i | ||||
\(666\) | 20.8269 | − | 43.1005i | 0.807026 | − | 1.67011i | ||||
\(667\) | −20.2111 | −0.782577 | ||||||||
\(668\) | −0.0467698 | + | 0.0810077i | −0.00180958 | + | 0.00313428i | ||||
\(669\) | −6.03379 | + | 6.49420i | −0.233280 | + | 0.251080i | ||||
\(670\) | − | 18.5911i | − | 0.718236i | ||||||
\(671\) | −24.8207 | −0.958191 | ||||||||
\(672\) | −0.148194 | + | 0.628033i | −0.00571670 | + | 0.0242269i | ||||
\(673\) | −14.0268 | − | 24.2951i | −0.540692 | − | 0.936506i | −0.998864 | − | 0.0476430i | \(-0.984829\pi\) |
0.458172 | − | 0.888863i | \(-0.348504\pi\) | |||||||
\(674\) | −5.02845 | − | 2.90318i | −0.193689 | − | 0.111826i | ||||
\(675\) | −7.18901 | − | 18.4255i | −0.276705 | − | 0.709196i | ||||
\(676\) | −0.265816 | − | 0.184582i | −0.0102237 | − | 0.00709931i | ||||
\(677\) | −16.0687 | − | 27.8319i | −0.617572 | − | 1.06967i | −0.989927 | − | 0.141575i | \(-0.954783\pi\) |
0.372356 | − | 0.928090i | \(-0.378550\pi\) | |||||||
\(678\) | 22.9123 | + | 21.2880i | 0.879943 | + | 0.817559i | ||||
\(679\) | −27.3613 | − | 0.182245i | −1.05003 | − | 0.00699390i | ||||
\(680\) | 3.40961 | + | 1.96854i | 0.130753 | + | 0.0754901i | ||||
\(681\) | −29.3204 | − | 27.2417i | −1.12356 | − | 1.04390i | ||||
\(682\) | 22.1988 | − | 12.8165i | 0.850035 | − | 0.490768i | ||||
\(683\) | −20.7123 | + | 11.9583i | −0.792535 | + | 0.457570i | −0.840854 | − | 0.541262i | \(-0.817947\pi\) |
0.0483193 | + | 0.998832i | \(0.484613\pi\) | |||||||
\(684\) | −0.0840961 | + | 0.174034i | −0.00321550 | + | 0.00665436i | ||||
\(685\) | 3.27852 | + | 1.89285i | 0.125266 | + | 0.0723222i | ||||
\(686\) | −13.4618 | + | 22.2765i | −0.513975 | + | 0.850519i | ||||
\(687\) | −29.4270 | + | 31.6724i | −1.12271 | + | 1.20838i | ||||
\(688\) | 8.86276 | + | 15.3507i | 0.337889 | + | 0.585242i | ||||
\(689\) | −3.95617 | − | 1.23888i | −0.150718 | − | 0.0471976i | ||||
\(690\) | −3.90680 | + | 17.0644i | −0.148729 | + | 0.649631i | ||||
\(691\) | 41.3896 | + | 23.8963i | 1.57454 | + | 0.909059i | 0.995602 | + | 0.0936839i | \(0.0298643\pi\) |
0.578934 | + | 0.815375i | \(0.303469\pi\) | |||||||
\(692\) | 0.0526697 | + | 0.0912265i | 0.00200220 | + | 0.00346791i | ||||
\(693\) | 19.3744 | + | 9.52174i | 0.735974 | + | 0.361701i | ||||
\(694\) | 13.0055 | 0.493683 | ||||||||
\(695\) | − | 12.3017i | − | 0.466628i | ||||||
\(696\) | −30.1150 | − | 27.9800i | −1.14151 | − | 1.06058i | ||||
\(697\) | −1.95440 | + | 3.38512i | −0.0740281 | + | 0.128220i | ||||
\(698\) | 12.7279 | 0.481756 | ||||||||
\(699\) | 14.0634 | − | 15.1365i | 0.531927 | − | 0.572515i | ||||
\(700\) | −0.217938 | + | 0.123898i | −0.00823727 | + | 0.00468292i | ||||
\(701\) | 6.73334i | 0.254315i | 0.991883 | + | 0.127157i | \(0.0405853\pi\) | ||||
−0.991883 | + | 0.127157i | \(0.959415\pi\) | |||||||
\(702\) | 21.8474 | − | 14.6953i | 0.824578 | − | 0.554638i | ||||
\(703\) | −25.4483 | − | 14.6926i | −0.959801 | − | 0.554142i | ||||
\(704\) | 22.0225i | 0.830003i | ||||||||
\(705\) | −9.78986 | + | 42.7609i | −0.368708 | + | 1.61047i | ||||
\(706\) | −14.3370 | − | 8.27748i | −0.539581 | − | 0.311527i | ||||
\(707\) | −15.2870 | + | 8.69073i | −0.574928 | + | 0.326849i | ||||
\(708\) | 0.0998930 | − | 0.436320i | 0.00375421 | − | 0.0163979i | ||||
\(709\) | −38.0202 | −1.42788 | −0.713939 | − | 0.700208i | \(-0.753091\pi\) | ||||
−0.713939 | + | 0.700208i | \(0.753091\pi\) | |||||||
\(710\) | 17.6026 | − | 30.4886i | 0.660614 | − | 1.14422i | ||||
\(711\) | −7.87146 | − | 3.80362i | −0.295203 | − | 0.142647i | ||||
\(712\) | −16.9591 | − | 9.79133i | −0.635569 | − | 0.366946i | ||||
\(713\) | 8.12581 | + | 14.0743i | 0.304314 | + | 0.527088i | ||||
\(714\) | −2.18597 | − | 2.05830i | −0.0818080 | − | 0.0770298i | ||||
\(715\) | 21.4170 | − | 19.7022i | 0.800950 | − | 0.736820i | ||||
\(716\) | −0.0215864 | + | 0.0124629i | −0.000806723 | + | 0.000465762i | ||||
\(717\) | 5.24409 | + | 17.0412i | 0.195844 | + | 0.636416i | ||||
\(718\) | 1.85908 | 0.0693802 | ||||||||
\(719\) | 24.6301 | 0.918549 | 0.459275 | − | 0.888294i | \(-0.348109\pi\) | ||||
0.459275 | + | 0.888294i | \(0.348109\pi\) | |||||||
\(720\) | −29.0784 | + | 19.7686i | −1.08369 | + | 0.736733i | ||||
\(721\) | −11.9352 | + | 20.3580i | −0.444490 | + | 0.758172i | ||||
\(722\) | 14.9720 | + | 8.64408i | 0.557199 | + | 0.321699i | ||||
\(723\) | −18.7340 | + | 20.1635i | −0.696724 | + | 0.749888i | ||||
\(724\) | 0.0999981 | − | 0.0577340i | 0.00371640 | − | 0.00214567i | ||||
\(725\) | − | 31.7442i | − | 1.17895i | ||||||
\(726\) | −8.54843 | − | 1.95711i | −0.317262 | − | 0.0726353i | ||||
\(727\) | − | 6.39426i | − | 0.237150i | −0.992945 | − | 0.118575i | \(-0.962167\pi\) | ||
0.992945 | − | 0.118575i | \(-0.0378326\pi\) | |||||||
\(728\) | −18.2457 | − | 20.1008i | −0.676230 | − | 0.744985i | ||||
\(729\) | −5.90283 | − | 26.3469i | −0.218623 | − | 0.975809i | ||||
\(730\) | −16.2688 | + | 28.1784i | −0.602135 | + | 1.04293i | ||||
\(731\) | 2.09231 | 0.0773869 | ||||||||
\(732\) | 0.267828 | − | 0.288265i | 0.00989921 | − | 0.0106546i | ||||
\(733\) | 19.2593 | − | 11.1194i | 0.711359 | − | 0.410703i | −0.100205 | − | 0.994967i | \(-0.531950\pi\) |
0.811564 | + | 0.584263i | \(0.198616\pi\) | |||||||
\(734\) | −4.09665 | + | 7.09561i | −0.151210 | + | 0.261904i | ||||
\(735\) | 34.5261 | − | 10.1233i | 1.27351 | − | 0.373402i | ||||
\(736\) | −0.341248 | −0.0125786 | ||||||||
\(737\) | − | 12.1241i | − | 0.446597i | ||||||
\(738\) | −19.8740 | − | 29.2334i | −0.731573 | − | 1.07610i | ||||
\(739\) | 23.2140 | 0.853940 | 0.426970 | − | 0.904266i | \(-0.359581\pi\) | ||||
0.426970 | + | 0.904266i | \(0.359581\pi\) | |||||||
\(740\) | 0.419365 | + | 0.726361i | 0.0154162 | + | 0.0267016i | ||||
\(741\) | −8.01224 | − | 14.0375i | −0.294337 | − | 0.515679i | ||||
\(742\) | −3.68815 | − | 2.16224i | −0.135396 | − | 0.0793782i | ||||
\(743\) | 13.9525 | − | 8.05548i | 0.511867 | − | 0.295527i | −0.221734 | − | 0.975107i | \(-0.571172\pi\) |
0.733601 | + | 0.679581i | \(0.237838\pi\) | |||||||
\(744\) | −7.37666 | + | 32.2203i | −0.270442 | + | 1.18125i | ||||
\(745\) | 32.1170 | − | 18.5428i | 1.17668 | − | 0.679354i | ||||
\(746\) | 3.94023 | + | 2.27489i | 0.144262 | + | 0.0832897i | ||||
\(747\) | 26.4302 | − | 17.9683i | 0.967032 | − | 0.657426i | ||||
\(748\) | 0.0273361 | + | 0.0157825i | 0.000999508 | + | 0.000577066i | ||||
\(749\) | −0.308520 | − | 0.00205495i | −0.0112731 | − | 7.50861e-5i | ||||
\(750\) | 8.40514 | + | 1.92431i | 0.306912 | + | 0.0702658i | ||||
\(751\) | 3.91086 | − | 6.77381i | 0.142709 | − | 0.247180i | −0.785807 | − | 0.618472i | \(-0.787752\pi\) |
0.928516 | + | 0.371292i | \(0.121085\pi\) | |||||||
\(752\) | 33.7081 | 1.22921 | ||||||||
\(753\) | 6.20662 | − | 27.1097i | 0.226182 | − | 0.987933i | ||||
\(754\) | 41.2399 | − | 9.22727i | 1.50187 | − | 0.336037i | ||||
\(755\) | −15.6370 | −0.569090 | ||||||||
\(756\) | −0.319645 | + | 0.122268i | −0.0116254 | + | 0.00444685i | ||||
\(757\) | 25.1290 | + | 43.5247i | 0.913329 | + | 1.58193i | 0.809329 | + | 0.587356i | \(0.199831\pi\) |
0.104001 | + | 0.994577i | \(0.466836\pi\) | |||||||
\(758\) | − | 33.3097i | − | 1.20986i | ||||||
\(759\) | −2.54780 | + | 11.1285i | −0.0924794 | + | 0.403938i | ||||
\(760\) | 10.9284 | + | 18.9286i | 0.396416 | + | 0.686613i | ||||
\(761\) | 14.4623 | 0.524258 | 0.262129 | − | 0.965033i | \(-0.415575\pi\) | ||||
0.262129 | + | 0.965033i | \(0.415575\pi\) | |||||||
\(762\) | 0.973457 | + | 3.16335i | 0.0352646 | + | 0.114596i | ||||
\(763\) | 0.0740180 | − | 11.1127i | 0.00267963 | − | 0.402307i | ||||
\(764\) | 0.0583127 | − | 0.0336669i | 0.00210968 | − | 0.00121802i | ||||
\(765\) | 0.304652 | + | 4.13928i | 0.0110147 | + | 0.149656i | ||||
\(766\) | 43.3277 | + | 25.0152i | 1.56549 | + | 0.903837i | ||||
\(767\) | 25.3413 | + | 27.5469i | 0.915021 | + | 0.994660i | ||||
\(768\) | −0.757983 | − | 0.704246i | −0.0273514 | − | 0.0254123i | ||||
\(769\) | −17.5980 | + | 10.1602i | −0.634602 | + | 0.366388i | −0.782532 | − | 0.622610i | \(-0.786072\pi\) |
0.147930 | + | 0.988998i | \(0.452739\pi\) | |||||||
\(770\) | 26.0896 | − | 14.8320i | 0.940203 | − | 0.534509i | ||||
\(771\) | 4.24680 | − | 18.5495i | 0.152945 | − | 0.668044i | ||||
\(772\) | 0.302123 | + | 0.523293i | 0.0108737 | + | 0.0188337i | ||||
\(773\) | −19.9457 | − | 34.5469i | −0.717397 | − | 1.24257i | −0.962028 | − | 0.272951i | \(-0.912000\pi\) |
0.244631 | − | 0.969616i | \(-0.421333\pi\) | |||||||
\(774\) | −8.23257 | + | 17.0370i | −0.295914 | + | 0.612383i | ||||
\(775\) | −22.1056 | + | 12.7627i | −0.794057 | + | 0.458449i | ||||
\(776\) | 14.7152 | − | 25.4874i | 0.528243 | − | 0.914944i | ||||
\(777\) | −14.9711 | − | 49.8285i | −0.537086 | − | 1.78759i | ||||
\(778\) | 0.233931 | + | 0.405181i | 0.00838685 | + | 0.0145265i | ||||
\(779\) | −18.7926 | + | 10.8499i | −0.673315 | + | 0.388739i | ||||
\(780\) | −0.00228133 | + | 0.461332i | −8.16849e−5 | + | 0.0165183i | ||||
\(781\) | 11.4795 | − | 19.8830i | 0.410768 | − | 0.711471i | ||||
\(782\) | 0.793919 | − | 1.37511i | 0.0283905 | − | 0.0491738i | ||||
\(783\) | 6.54438 | − | 42.8382i | 0.233877 | − | 1.53091i | ||||
\(784\) | −13.5034 | − | 24.1252i | −0.482265 | − | 0.861613i | ||||
\(785\) | 1.04754i | 0.0373882i | ||||||||
\(786\) | 8.34661 | + | 27.1232i | 0.297714 | + | 0.967452i | ||||
\(787\) | −4.19300 | + | 2.42083i | −0.149464 | + | 0.0862933i | −0.572867 | − | 0.819648i | \(-0.694169\pi\) |
0.423403 | + | 0.905942i | \(0.360836\pi\) | |||||||
\(788\) | −0.152662 | − | 0.0881395i | −0.00543836 | − | 0.00313984i | ||||
\(789\) | −3.53107 | − | 11.4746i | −0.125709 | − | 0.408506i | ||||
\(790\) | −10.5251 | + | 6.07668i | −0.374467 | + | 0.216199i | ||||
\(791\) | 33.9928 | + | 0.226415i | 1.20864 | + | 0.00805038i | ||||
\(792\) | −19.2024 | + | 13.0545i | −0.682328 | + | 0.463873i | ||||
\(793\) | 7.18447 | + | 32.1100i | 0.255128 | + | 1.14026i | ||||
\(794\) | 20.8234 | − | 36.0673i | 0.738996 | − | 1.27998i | ||||
\(795\) | 1.73819 | + | 5.64843i | 0.0616473 | + | 0.200329i | ||||
\(796\) | 0.414942 | + | 0.239567i | 0.0147072 | + | 0.00849122i | ||||
\(797\) | −22.9572 | + | 39.7631i | −0.813187 | + | 1.40848i | 0.0974358 | + | 0.995242i | \(0.468936\pi\) |
−0.910623 | + | 0.413239i | \(0.864397\pi\) | |||||||
\(798\) | −4.79631 | − | 15.9636i | −0.169788 | − | 0.565105i | ||||
\(799\) | 1.98944 | − | 3.44582i | 0.0703815 | − | 0.121904i | ||||
\(800\) | − | 0.535976i | − | 0.0189496i | ||||||
\(801\) | −1.51531 | − | 20.5884i | −0.0535409 | − | 0.727455i | ||||
\(802\) | 6.94172 | + | 12.0234i | 0.245120 | + | 0.424561i | ||||
\(803\) | −10.6096 | + | 18.3764i | −0.374406 | + | 0.648490i | ||||
\(804\) | 0.140808 | + | 0.130826i | 0.00496592 | + | 0.00461386i | ||||
\(805\) | 9.40370 | + | 16.5412i | 0.331437 | + | 0.582999i | ||||
\(806\) | −23.0060 | − | 25.0083i | −0.810350 | − | 0.880880i | ||||
\(807\) | −9.08206 | − | 8.43818i | −0.319704 | − | 0.297038i | ||||
\(808\) | − | 18.9140i | − | 0.665393i | ||||||
\(809\) | 33.0727i | 1.16278i | 0.813627 | + | 0.581388i | \(0.197490\pi\) | ||||
−0.813627 | + | 0.581388i | \(0.802510\pi\) | |||||||
\(810\) | −34.9036 | − | 13.8061i | −1.22639 | − | 0.485096i | ||||
\(811\) | − | 26.0753i | − | 0.915629i | −0.889048 | − | 0.457815i | \(-0.848632\pi\) | ||
0.889048 | − | 0.457815i | \(-0.151368\pi\) | |||||||
\(812\) | −0.549272 | − | 0.00365852i | −0.0192757 | − | 0.000128389i | ||||
\(813\) | −23.6566 | − | 5.41605i | −0.829674 | − | 0.189949i | ||||
\(814\) | −21.6989 | − | 37.5836i | −0.760547 | − | 1.31731i | ||||
\(815\) | 35.1670 | + | 60.9110i | 1.23185 | + | 2.13362i | ||||
\(816\) | 3.04821 | − | 0.938026i | 0.106709 | − | 0.0328375i | ||||
\(817\) | 10.0594 | + | 5.80777i | 0.351932 | + | 0.203188i | ||||
\(818\) | 4.70166 | 0.164390 | ||||||||
\(819\) | 6.71004 | − | 27.8204i | 0.234468 | − | 0.972124i | ||||
\(820\) | 0.619370 | 0.0216293 | ||||||||
\(821\) | 36.8176 | + | 21.2566i | 1.28494 | + | 0.741862i | 0.977747 | − | 0.209785i | \(-0.0672765\pi\) |
0.307194 | + | 0.951647i | \(0.400610\pi\) | |||||||
\(822\) | 2.96796 | − | 0.913330i | 0.103520 | − | 0.0318561i | ||||
\(823\) | 13.4898 | + | 23.3651i | 0.470226 | + | 0.814455i | 0.999420 | − | 0.0340454i | \(-0.0108391\pi\) |
−0.529194 | + | 0.848501i | \(0.677506\pi\) | |||||||
\(824\) | −12.6913 | − | 21.9820i | −0.442123 | − | 0.765779i | ||||
\(825\) | −17.4788 | − | 4.00166i | −0.608533 | − | 0.139320i | ||||
\(826\) | 19.0772 | + | 33.5569i | 0.663780 | + | 1.16759i | ||||
\(827\) | − | 25.9887i | − | 0.903716i | −0.892090 | − | 0.451858i | \(-0.850761\pi\) | ||
0.892090 | − | 0.451858i | \(-0.149239\pi\) | |||||||
\(828\) | −0.101753 | − | 0.149672i | −0.00353616 | − | 0.00520147i | ||||
\(829\) | 7.73524i | 0.268656i | 0.990937 | + | 0.134328i | \(0.0428876\pi\) | ||||
−0.990937 | + | 0.134328i | \(0.957112\pi\) | |||||||
\(830\) | − | 44.4297i | − | 1.54218i | ||||||
\(831\) | −29.9673 | − | 27.8427i | −1.03955 | − | 0.965854i | ||||
\(832\) | 28.4900 | − | 6.37452i | 0.987713 | − | 0.220997i | ||||
\(833\) | −3.26316 | − | 0.0434716i | −0.113062 | − | 0.00150620i | ||||
\(834\) | −7.39244 | − | 6.86835i | −0.255979 | − | 0.237832i | ||||
\(835\) | −5.57538 | + | 9.65683i | −0.192944 | + | 0.334189i | ||||
\(836\) | 0.0876173 | + | 0.151758i | 0.00303031 | + | 0.00524865i | ||||
\(837\) | −32.4622 | + | 12.6657i | −1.12206 | + | 0.437790i | ||||
\(838\) | − | 22.1464i | − | 0.765035i | ||||||
\(839\) | 0.385592 | − | 0.667865i | 0.0133121 | − | 0.0230573i | −0.859293 | − | 0.511484i | \(-0.829096\pi\) |
0.872605 | + | 0.488427i | \(0.162429\pi\) | |||||||
\(840\) | −8.88763 | + | 37.6650i | −0.306652 | + | 1.29957i | ||||
\(841\) | 20.2766 | − | 35.1201i | 0.699193 | − | 1.21104i | ||||
\(842\) | −1.91302 | − | 1.10448i | −0.0659270 | − | 0.0380630i | ||||
\(843\) | −8.56040 | − | 27.8179i | −0.294836 | − | 0.958100i | ||||
\(844\) | −0.290427 | + | 0.503035i | −0.00999692 | + | 0.0173152i | ||||
\(845\) | −31.6876 | − | 22.0038i | −1.09009 | − | 0.756954i | ||||
\(846\) | 20.2304 | + | 29.7576i | 0.695535 | + | 1.02309i | ||||
\(847\) | −8.28630 | + | 4.71079i | −0.284721 | + | 0.161865i | ||||
\(848\) | 3.93278 | − | 2.27059i | 0.135052 | − | 0.0779725i | ||||
\(849\) | −4.55539 | − | 14.8032i | −0.156341 | − | 0.508045i | ||||
\(850\) | 2.15979 | + | 1.24696i | 0.0740802 | + | 0.0427702i | ||||
\(851\) | 23.8285 | − | 13.7574i | 0.816832 | − | 0.471598i | ||||
\(852\) | 0.107050 | + | 0.347870i | 0.00366747 | + | 0.0119178i | ||||
\(853\) | 8.91797i | 0.305346i | 0.988277 | + | 0.152673i | \(0.0487881\pi\) | ||||
−0.988277 | + | 0.152673i | \(0.951212\pi\) | |||||||
\(854\) | −0.226010 | + | 33.9321i | −0.00773391 | + | 1.16113i | ||||
\(855\) | −10.0250 | + | 20.7464i | −0.342848 | + | 0.709511i | ||||
\(856\) | 0.165925 | − | 0.287390i | 0.00567119 | − | 0.00982278i | ||||
\(857\) | 10.6106 | − | 18.3781i | 0.362451 | − | 0.627783i | −0.625913 | − | 0.779893i | \(-0.715273\pi\) |
0.988364 | + | 0.152110i | \(0.0486067\pi\) | |||||||
\(858\) | 0.118042 | − | 23.8704i | 0.00402987 | − | 0.814922i | ||||
\(859\) | −19.4014 | + | 11.2014i | −0.661967 | + | 0.382187i | −0.793026 | − | 0.609188i | \(-0.791496\pi\) |
0.131059 | + | 0.991375i | \(0.458162\pi\) | |||||||
\(860\) | −0.165769 | − | 0.287120i | −0.00565267 | − | 0.00979072i | ||||
\(861\) | −37.3945 | − | 8.82378i | −1.27440 | − | 0.300713i | ||||
\(862\) | −24.8750 | + | 43.0847i | −0.847245 | + | 1.46747i | ||||
\(863\) | −21.5282 | + | 12.4293i | −0.732830 | + | 0.423099i | −0.819456 | − | 0.573141i | \(-0.805725\pi\) |
0.0866268 | + | 0.996241i | \(0.472391\pi\) | |||||||
\(864\) | 0.110497 | − | 0.723288i | 0.00375917 | − | 0.0246067i | ||||
\(865\) | 6.27869 | + | 10.8750i | 0.213482 | + | 0.369761i | ||||
\(866\) | 25.5838 | + | 44.3124i | 0.869373 | + | 1.50580i | ||||
\(867\) | −6.48720 | + | 28.3353i | −0.220317 | + | 0.962317i | ||||
\(868\) | 0.218285 | + | 0.383965i | 0.00740909 | + | 0.0130326i | ||||
\(869\) | −6.86391 | + | 3.96288i | −0.232842 | + | 0.134432i | ||||
\(870\) | −44.1345 | − | 41.0056i | −1.49630 | − | 1.39022i | ||||
\(871\) | −15.6847 | + | 3.50939i | −0.531456 | + | 0.118911i | ||||
\(872\) | 10.3516 | + | 5.97651i | 0.350550 | + | 0.202390i | ||||
\(873\) | 30.9418 | − | 2.27732i | 1.04722 | − | 0.0770757i | ||||
\(874\) | 7.63397 | − | 4.40747i | 0.258223 | − | 0.149085i | ||||
\(875\) | 8.14741 | − | 4.63183i | 0.275433 | − | 0.156584i | ||||
\(876\) | −0.0989385 | − | 0.321511i | −0.00334282 | − | 0.0108628i | ||||
\(877\) | −13.5131 | −0.456304 | −0.228152 | − | 0.973625i | \(-0.573268\pi\) | ||||
−0.228152 | + | 0.973625i | \(0.573268\pi\) | |||||||
\(878\) | −22.9522 | − | 39.7543i | −0.774598 | − | 1.34164i | ||||
\(879\) | −6.47463 | + | 28.2804i | −0.218384 | + | 0.953873i | ||||
\(880\) | 31.8777i | 1.07460i | ||||||||
\(881\) | 12.9595 | + | 22.4465i | 0.436616 | + | 0.756240i | 0.997426 | − | 0.0717039i | \(-0.0228437\pi\) |
−0.560810 | + | 0.827944i | \(0.689510\pi\) | |||||||
\(882\) | 13.1935 | − | 26.3999i | 0.444248 | − | 0.888930i | ||||
\(883\) | 18.4111 | 0.619582 | 0.309791 | − | 0.950805i | \(-0.399741\pi\) | ||||
0.309791 | + | 0.950805i | \(0.399741\pi\) | |||||||
\(884\) | 0.0125049 | − | 0.0399325i | 0.000420586 | − | 0.00134308i | ||||
\(885\) | 11.9081 | − | 52.0132i | 0.400287 | − | 1.74840i | ||||
\(886\) | 7.53075 | 0.253001 | ||||||||
\(887\) | −16.2068 | + | 28.0711i | −0.544173 | + | 0.942535i | 0.454486 | + | 0.890754i | \(0.349823\pi\) |
−0.998658 | + | 0.0517808i | \(0.983510\pi\) | |||||||
\(888\) | 54.5506 | + | 12.4891i | 1.83060 | + | 0.419105i | ||||
\(889\) | 3.10338 | + | 1.81940i | 0.104084 | + | 0.0610209i | ||||
\(890\) | −24.8541 | − | 14.3495i | −0.833111 | − | 0.480997i | ||||
\(891\) | −22.7622 | − | 9.00358i | −0.762564 | − | 0.301631i | ||||
\(892\) | −0.110336 | − | 0.0637027i | −0.00369433 | − | 0.00213292i | ||||
\(893\) | 19.1296 | − | 11.0445i | 0.640148 | − | 0.369589i | ||||
\(894\) | 6.78890 | − | 29.6530i | 0.227055 | − | 0.991746i | ||||
\(895\) | −2.57329 | + | 1.48569i | −0.0860156 | + | 0.0496612i | ||||
\(896\) | 29.3616 | + | 0.195568i | 0.980902 | + | 0.00653346i | ||||
\(897\) | 15.1342 | + | 0.0748400i | 0.505315 | + | 0.00249883i | ||||
\(898\) | 20.5709 | + | 35.6299i | 0.686461 | + | 1.18899i | ||||
\(899\) | −55.9273 | −1.86528 | ||||||||
\(900\) | 0.235080 | − | 0.159817i | 0.00783601 | − | 0.00532722i | ||||
\(901\) | − | 0.536039i | − | 0.0178581i | ||||||
\(902\) | −32.0477 | −1.06707 | ||||||||
\(903\) | 5.91787 | + | 19.6965i | 0.196935 | + | 0.655458i | ||||
\(904\) | −18.2816 | + | 31.6647i | −0.608038 | + | 1.05315i | ||||
\(905\) | 11.9207 | − | 6.88239i | 0.396256 | − | 0.228779i | ||||
\(906\) | −8.73059 | + | 9.39678i | −0.290054 | + | 0.312187i | ||||
\(907\) | 13.4248 | 0.445763 | 0.222881 | − | 0.974846i | \(-0.428454\pi\) | ||||
0.222881 | + | 0.974846i | \(0.428454\pi\) | |||||||
\(908\) | 0.287609 | − | 0.498153i | 0.00954464 | − | 0.0165318i | ||||
\(909\) | 16.4895 | − | 11.2102i | 0.546922 | − | 0.371819i | ||||
\(910\) | −26.7396 | − | 29.4583i | −0.886411 | − | 0.976535i | ||||
\(911\) | 14.3638i | 0.475892i | 0.971278 | + | 0.237946i | \(0.0764742\pi\) | ||||
−0.971278 | + | 0.237946i | \(0.923526\pi\) | |||||||
\(912\) | 17.2589 | + | 3.95132i | 0.571498 | + | 0.130841i | ||||
\(913\) | − | 28.9746i | − | 0.958921i | ||||||
\(914\) | 38.1335 | − | 22.0164i | 1.26134 | − | 0.728237i | ||||
\(915\) | 31.9275 | − | 34.3637i | 1.05549 | − | 1.13603i | ||||
\(916\) | −0.538114 | − | 0.310680i | −0.0177798 | − | 0.0102652i | ||||
\(917\) | 26.6090 | + | 15.5999i | 0.878707 | + | 0.515155i | ||||
\(918\) | 2.65752 | + | 2.12800i | 0.0877112 | + | 0.0702345i | ||||
\(919\) | 0.613513 | 0.0202379 | 0.0101190 | − | 0.999949i | \(-0.496779\pi\) | ||||
0.0101190 | + | 0.999949i | \(0.496779\pi\) | |||||||
\(920\) | −20.4657 | −0.674734 | ||||||||
\(921\) | −1.52069 | − | 4.94165i | −0.0501085 | − | 0.162833i | ||||
\(922\) | 6.67883 | − | 3.85602i | 0.219955 | − | 0.126991i | ||||
\(923\) | −29.0451 | − | 9.09550i | −0.956030 | − | 0.299382i | ||||
\(924\) | −0.0712554 | + | 0.301975i | −0.00234413 | + | 0.00993424i | ||||
\(925\) | 21.6078 | + | 37.4259i | 0.710462 | + | 1.23056i | ||||
\(926\) | 12.7767 | + | 7.37666i | 0.419870 | + | 0.242412i | ||||
\(927\) | 11.6421 | − | 24.0930i | 0.382378 | − | 0.791318i | ||||
\(928\) | 0.587175 | − | 1.01702i | 0.0192750 | − | 0.0333852i | ||||
\(929\) | −1.25806 | −0.0412755 | −0.0206378 | − | 0.999787i | \(-0.506570\pi\) | ||||
−0.0206378 | + | 0.999787i | \(0.506570\pi\) | |||||||
\(930\) | −10.8107 | + | 47.2199i | −0.354498 | + | 1.54840i | ||||
\(931\) | −15.5679 | − | 9.26680i | −0.510217 | − | 0.303707i | ||||
\(932\) | 0.257169 | + | 0.148477i | 0.00842386 | + | 0.00486352i | ||||
\(933\) | −1.09863 | + | 4.79866i | −0.0359674 | + | 0.157101i | ||||
\(934\) | − | 17.1943i | − | 0.562615i | ||||||
\(935\) | 3.25871 | + | 1.88141i | 0.106571 | + | 0.0615288i | ||||
\(936\) | 22.4466 | + | 21.0630i | 0.733691 | + | 0.688467i | ||||
\(937\) | 13.4531i | 0.439494i | 0.975557 | + | 0.219747i | \(0.0705232\pi\) | ||||
−0.975557 | + | 0.219747i | \(0.929477\pi\) | |||||||
\(938\) | −16.5747 | − | 0.110399i | −0.541184 | − | 0.00360465i | ||||
\(939\) | 9.97511 | − | 10.7363i | 0.325525 | − | 0.350365i | ||||
\(940\) | −0.630477 | −0.0205639 | ||||||||
\(941\) | −10.6364 | + | 18.4228i | −0.346736 | + | 0.600565i | −0.985668 | − | 0.168699i | \(-0.946043\pi\) |
0.638931 | + | 0.769264i | \(0.279377\pi\) | |||||||
\(942\) | 0.629497 | + | 0.584868i | 0.0205101 | + | 0.0190560i | ||||
\(943\) | − | 20.3187i | − | 0.661666i | ||||||
\(944\) | −41.0017 | −1.33449 | ||||||||
\(945\) | −38.1045 | + | 14.5754i | −1.23954 | + | 0.474139i | ||||
\(946\) | 8.57727 | + | 14.8563i | 0.278871 | + | 0.483019i | ||||
\(947\) | −6.58584 | − | 3.80234i | −0.214011 | − | 0.123559i | 0.389163 | − | 0.921169i | \(-0.372764\pi\) |
−0.603174 | + | 0.797609i | \(0.706098\pi\) | |||||||
\(948\) | 0.0280408 | − | 0.122478i | 0.000910721 | − | 0.00397792i | ||||
\(949\) | 26.8442 | + | 8.40631i | 0.871400 | + | 0.272880i | ||||
\(950\) | 6.92252 | + | 11.9902i | 0.224596 | + | 0.389012i | ||||
\(951\) | −33.4920 | + | 36.0476i | −1.08605 | + | 1.16892i | ||||
\(952\) | 1.77528 | − | 3.02812i | 0.0575373 | − | 0.0981421i | ||||
\(953\) | −11.5075 | − | 6.64386i | −0.372765 | − | 0.215216i | 0.301901 | − | 0.953339i | \(-0.402379\pi\) |
−0.674666 | + | 0.738123i | \(0.735712\pi\) | |||||||
\(954\) | 4.36480 | + | 2.10914i | 0.141316 | + | 0.0682860i | ||||
\(955\) | 6.95139 | − | 4.01339i | 0.224942 | − | 0.129870i | ||||
\(956\) | −0.221925 | + | 0.128129i | −0.00717758 | + | 0.00414398i | ||||
\(957\) | −28.7821 | − | 26.7416i | −0.930394 | − | 0.864434i | ||||
\(958\) | −19.1935 | − | 11.0814i | −0.620113 | − | 0.358023i | ||||
\(959\) | 1.70703 | − | 2.91170i | 0.0551228 | − | 0.0940236i | ||||
\(960\) | −30.4897 | − | 28.3281i | −0.984050 | − | 0.914285i | ||||
\(961\) | 6.98542 | + | 12.0991i | 0.225336 | + | 0.390294i | ||||
\(962\) | −42.3403 | + | 38.9502i | −1.36511 | + | 1.25581i | ||||
\(963\) | 0.348892 | − | 0.0256786i | 0.0112429 | − | 0.000827480i | ||||
\(964\) | −0.342577 | − | 0.197787i | −0.0110337 | − | 0.00637029i | ||||
\(965\) | 36.0158 | + | 62.3811i | 1.15939 | + | 2.00812i | ||||
\(966\) | 15.1904 | + | 3.58441i | 0.488744 | + | 0.115326i | ||||
\(967\) | 41.8154 | 1.34469 | 0.672346 | − | 0.740237i | \(-0.265287\pi\) | ||||
0.672346 | + | 0.740237i | \(0.265287\pi\) | |||||||
\(968\) | − | 10.2523i | − | 0.329522i | ||||||
\(969\) | 1.42254 | − | 1.53108i | 0.0456985 | − | 0.0491855i | ||||
\(970\) | 21.5655 | − | 37.3526i | 0.692427 | − | 1.19932i | ||||
\(971\) | −20.3903 | −0.654354 | −0.327177 | − | 0.944963i | \(-0.606097\pi\) | ||||
−0.327177 | + | 0.944963i | \(0.606097\pi\) | |||||||
\(972\) | 0.350183 | − | 0.167205i | 0.0112321 | − | 0.00536311i | ||||
\(973\) | −10.9674 | − | 0.0730505i | −0.351600 | − | 0.00234189i | ||||
\(974\) | − | 35.0976i | − | 1.12460i | ||||||
\(975\) | −0.117546 | + | 23.7702i | −0.00376449 | + | 0.761256i | ||||
\(976\) | −31.2147 | − | 18.0218i | −0.999157 | − | 0.576863i | ||||
\(977\) | − | 8.77937i | − | 0.280877i | −0.990089 | − | 0.140438i | \(-0.955149\pi\) | ||
0.990089 | − | 0.140438i | \(-0.0448512\pi\) | |||||||
\(978\) | 56.2380 | + | 12.8754i | 1.79829 | + | 0.411709i | ||||
\(979\) | −16.2085 | − | 9.35798i | −0.518026 | − | 0.299082i | ||||
\(980\) | 0.252568 | + | 0.451237i | 0.00806798 | + | 0.0144142i | ||||
\(981\) | 0.924927 | + | 12.5669i | 0.0295307 | + | 0.401230i | ||||
\(982\) | 59.4972 | 1.89863 | ||||||||
\(983\) | 11.5468 | − | 19.9996i | 0.368285 | − | 0.637888i | −0.621013 | − | 0.783800i | \(-0.713279\pi\) |
0.989297 | + | 0.145913i | \(0.0466119\pi\) | |||||||
\(984\) | 28.1289 | − | 30.2753i | 0.896716 | − | 0.965140i | ||||
\(985\) | −18.1987 | − | 10.5070i | −0.579858 | − | 0.334781i | ||||
\(986\) | 2.73214 | + | 4.73221i | 0.0870091 | + | 0.150704i | ||||
\(987\) | 38.0650 | + | 8.98200i | 1.21162 | + | 0.285900i | ||||
\(988\) | 0.170964 | − | 0.157276i | 0.00543910 | − | 0.00500361i | ||||
\(989\) | −9.41908 | + | 5.43811i | −0.299509 | + | 0.172922i | ||||
\(990\) | −28.1417 | + | 19.1319i | −0.894403 | + | 0.608050i | ||||
\(991\) | −6.00941 | −0.190895 | −0.0954477 | − | 0.995434i | \(-0.530428\pi\) | ||||
−0.0954477 | + | 0.995434i | \(0.530428\pi\) | |||||||
\(992\) | −0.944288 | −0.0299812 | ||||||||
\(993\) | 40.9056 | − | 12.5879i | 1.29810 | − | 0.399464i | ||||
\(994\) | −27.0774 | − | 15.8745i | −0.858842 | − | 0.503509i | ||||
\(995\) | 49.4647 | + | 28.5585i | 1.56814 | + | 0.905365i | ||||
\(996\) | 0.336509 | + | 0.312652i | 0.0106627 | + | 0.00990675i | ||||
\(997\) | −10.6404 | + | 6.14323i | −0.336985 | + | 0.194558i | −0.658938 | − | 0.752197i | \(-0.728994\pi\) |
0.321953 | + | 0.946756i | \(0.395661\pi\) | |||||||
\(998\) | 13.2307i | 0.418810i | ||||||||
\(999\) | 21.4436 | + | 54.9601i | 0.678446 | + | 1.73886i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 273.2.bf.b.185.23 | yes | 64 | |
3.2 | odd | 2 | inner | 273.2.bf.b.185.10 | yes | 64 | |
7.5 | odd | 6 | 273.2.r.b.68.10 | ✓ | 64 | ||
13.9 | even | 3 | 273.2.r.b.269.10 | yes | 64 | ||
21.5 | even | 6 | 273.2.r.b.68.23 | yes | 64 | ||
39.35 | odd | 6 | 273.2.r.b.269.23 | yes | 64 | ||
91.61 | odd | 6 | inner | 273.2.bf.b.152.10 | yes | 64 | |
273.152 | even | 6 | inner | 273.2.bf.b.152.23 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.r.b.68.10 | ✓ | 64 | 7.5 | odd | 6 | ||
273.2.r.b.68.23 | yes | 64 | 21.5 | even | 6 | ||
273.2.r.b.269.10 | yes | 64 | 13.9 | even | 3 | ||
273.2.r.b.269.23 | yes | 64 | 39.35 | odd | 6 | ||
273.2.bf.b.152.10 | yes | 64 | 91.61 | odd | 6 | inner | |
273.2.bf.b.152.23 | yes | 64 | 273.152 | even | 6 | inner | |
273.2.bf.b.185.10 | yes | 64 | 3.2 | odd | 2 | inner | |
273.2.bf.b.185.23 | yes | 64 | 1.1 | even | 1 | trivial |